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The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Helene's card is shown to Helene. Michael's card is shown to Michael. Michael's card is shown to Amanda. It is publicly announced that someone picked a red card. Hypothesis: Michael can now know whether or not nobody picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that William's forehead is not muddy. Hypothesis: William can now know that James's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ann knows whether Marvin's forehead is muddy. Hypothesis: Jean can now know that everyone's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joseph's card is shown to Joseph. Brian's card is shown to Mary. Joseph's card is shown to Mary. Mary's card is shown to Tracy. It is publicly announced that someone picked a red card. Hypothesis: Joseph can now know whether Mary can know that nobody picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Rachel knows whether or not nobody's forehead is muddy. Hypothesis: James can now know that Sylvia's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joyce does not know whether or not everyone is thirsty. Hypothesis: Joyce can now know whether Amanda is thirsty. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Danny's card is shown to Esther. Kathy's card is shown to Esther. Sadie's card is shown to Sadie. Kathy's card is shown to Sadie. Esther's card is shown to Danny. Sadie's card is shown to Kathy. It is publicly announced that someone picked a red card. Hypothesis: Sadie can now know that Kathy can know whether Esther picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Micheal. Jesse's card is shown to Robert. Jesse's card is shown to Jesse. It is publicly announced that someone picked a red card. It is publicly announced that Jesse does not know whether or not everyone picked a red card. Hypothesis: Micheal can now know that Robert can know that nobody picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Gary knows whether or not everyone's forehead is muddy. It is publicly announced that Gary does not know whether Gary's forehead is muddy. Hypothesis: Salvador can now know whether Salvador's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. Hypothesis: Terri can now know that David can know that everyone's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Pauline does not know whether Jerry is thirsty. Hypothesis: Pauline can now know that nobody is thirsty. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. Hypothesis: Almeda can now know whether Brendan can know that someone's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. Hypothesis: Larry can now know whether Barbara can know whether someone's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ronald's forehead is not muddy. It is publicly announced that Loreta knows whether or not everyone's forehead is muddy. Hypothesis: Vicky can now know that Ronald can know that Vicky's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Glenn's card is shown to Glenn. Inga's card is shown to Glenn. Inga's card is shown to Mable. Inga's card is shown to Inga. It is publicly announced that someone picked a red card. Hypothesis: Inga can now know that Mable picked a red card. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Alfred knows whether Joshua's forehead is muddy. It is publicly announced that Alfred knows whether Joshua's forehead is muddy. Hypothesis: Alfred can now know whether Denise can know whether Joshua's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jody's card is shown to Jody. William's card is shown to William. It is publicly announced that someone picked a red card. It is publicly announced that William does not know whether Jody picked a red card. It is publicly announced that not everyone picked a red card. Hypothesis: William can now know whether Jody can know that everyone picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Dora knows whether someone's forehead is muddy. It is publicly announced that Clarence knows whether or not nobody's forehead is muddy. It is publicly announced that Clarence knows whether Dora's forehead is muddy. It is publicly announced that Joseph knows whether Joseph's forehead is muddy. Hypothesis: Clarence can now know that Joseph can know that Clarence's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ali's card is shown to Patricia. Ronnie's card is shown to Mary. Ali's card is shown to Mary. Ali's card is shown to Ronnie. Ronnie's card is shown to Ali. It is publicly announced that someone picked a red card. Hypothesis: Patricia can now know that everyone picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jonathan's card is shown to Laura. Laura's card is shown to Jonathan. Jonathan's card is shown to Jonathan. It is publicly announced that someone picked a red card. It is publicly announced that Jonathan knows whether Jonathan picked a red card. Hypothesis: Jonathan can now know that Laura picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Victor is not thirsty. Hypothesis: Victor can now know that Victor is thirsty. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lula's card is shown to Elsy. Janet's card is shown to Elsy. Lula's card is shown to Lula. Harold's card is shown to Lula. Janet's card is shown to Harold. Harold's card is shown to Janet. It is publicly announced that someone picked a red card. It is publicly announced that Janet does not know whether Lula picked a red card. Hypothesis: Elsy can now know that Janet can know whether Elsy picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elizabeth is not thirsty. It is publicly announced that Virginia knows whether Elizabeth is thirsty. It is publicly announced that Elizabeth does not know whether Armando is thirsty. Hypothesis: Lee can now know that Virginia is thirsty. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Shirley knows whether someone's forehead is muddy. Hypothesis: Joe can now know whether Shirley can know whether Joe's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. Hypothesis: Jess can now know whether Lisa can know that Lisa's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Paul's card is shown to Paul. Paul's card is shown to Ruth. It is publicly announced that someone picked a red card. Hypothesis: Paul can now know that Ruth can know whether someone picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Billy does not know whether Wayne is thirsty. It is publicly announced that Teresita does not know whether or not everyone is thirsty. Hypothesis: William can now know that Wayne can know whether or not everyone is thirsty. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Audra is thirsty. It is publicly announced that John does not know whether or not everyone is thirsty. It is publicly announced that John does not know whether Michelle is thirsty. It is publicly announced that Audra does not know whether Michelle is thirsty. Hypothesis: John can now know that Audra can know that someone is thirsty. |
The hypothesis logically follows the premise | Premise: There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Albert's card is shown to Charles. Albert's card is shown to Albert. Albert's card is shown to Joseph. It is publicly announced that someone picked a red card. Hypothesis: Joseph can now know whether Charles can know that Charles picked a red card. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brett's card is shown to Robin. Regina's card is shown to Robin. Robin's card is shown to Brett. Regina's card is shown to Brett. Regina's card is shown to Homer. It is publicly announced that someone picked a red card. Hypothesis: Robin can now know whether Regina can know whether Homer picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mindy's card is shown to Mindy. William's card is shown to William. Eric's card is shown to William. Eric's card is shown to Eric. Mindy's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. Hypothesis: Robert can now know whether Eric picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to David. David's card is shown to Michael. Michael's card is shown to Michael. It is publicly announced that someone picked a red card. It is publicly announced that Michael knows whether Michael picked a red card. Hypothesis: David can now know that David picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jesus's card is shown to Ben. Andrew's card is shown to Ben. Cheryl's card is shown to Cheryl. Cheryl's card is shown to Jesus. Jesus's card is shown to Jesus. Andrew's card is shown to Andrew. It is publicly announced that someone picked a red card. It is publicly announced that Jesus knows whether Jesus picked a red card. Hypothesis: Ben can now know that Jesus picked a red card. |
The hypothesis logically follows the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Benjamin does not know whether or not everyone's forehead is muddy. It is publicly announced that Beatrice knows whether or not nobody's forehead is muddy. It is publicly announced that Benjamin does not know whether or not everyone's forehead is muddy. Hypothesis: Beatrice can now know whether Beatrice's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Tracy does not know whether Tracy's forehead is muddy. Hypothesis: Tracy can now know that Elsie can know whether Elsie's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kristi's card is shown to Jackie. Gary's card is shown to Jackie. Jackie's card is shown to Kristi. Kristi's card is shown to Kristi. Gary's card is shown to Kristi. Jackie's card is shown to Gary. Raymond's card is shown to Gary. Raymond's card is shown to Raymond. It is publicly announced that someone picked a red card. It is publicly announced that Raymond does not know whether Gary picked a red card. It is publicly announced that Raymond does not know whether Kristi picked a red card. Hypothesis: Gary can now know that someone picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Bruce's card is shown to Pamela. Jefferson's card is shown to Pamela. Vito's card is shown to Pamela. Pamela's card is shown to Jefferson. Jefferson's card is shown to Jefferson. Jefferson's card is shown to Vito. It is publicly announced that someone picked a red card. Hypothesis: Bruce can now know that Bruce picked a red card. |
The hypothesis logically follows the premise | Premise: There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joanna's card is shown to Joanna. Donald's card is shown to Joanna. Donald's card is shown to Donald. It is publicly announced that someone picked a red card. It is publicly announced that Donald does not know whether Joanna picked a red card. It is publicly announced that Donald does not know whether or not everyone picked a red card. It is publicly announced that Donald does not know whether or not everyone picked a red card. Hypothesis: Donald can now know that someone picked a red card. |
The hypothesis logically follows the premise | Premise: There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that John does not know whether or not everyone's forehead is muddy. It is publicly announced that John's forehead is muddy. Hypothesis: Jose can now know whether Jose's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Isabel's forehead is not muddy. Hypothesis: Isabel can now know that someone's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Terry knows whether someone's forehead is muddy. Hypothesis: Irene can now know whether Bonnie's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. Hypothesis: Isreal can now know whether Glenda can know whether Glenda's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that Warren knows whether or not everyone's forehead is muddy. Hypothesis: Warren can now know whether Charles's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Delilah's card is shown to Carole. Carole's card is shown to Delilah. Richard's card is shown to Delilah. Howard's card is shown to Howard. Richard's card is shown to Howard. Carole's card is shown to Richard. Howard's card is shown to Richard. Richard's card is shown to Richard. It is publicly announced that someone picked a red card. Hypothesis: Howard can now know whether or not everyone picked a red card. |
The hypothesis logically follows the premise | Premise: There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kevin does not know whether Kevin's forehead is muddy. Hypothesis: Debra can now know that Kevin can know whether Debra's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Elizebeth knows whether Kevin's forehead is muddy. Hypothesis: Boris can now know that Kevin can know that nobody's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Wendy knows whether someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. Hypothesis: Norma can now know that nobody's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Teresa does not know whether Teresa's forehead is muddy. Hypothesis: Teresa can now know whether someone's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Suzanne knows whether or not nobody's forehead is muddy. Hypothesis: Kent can now know whether Kent's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maria is thirsty. It is publicly announced that Maria knows whether Maria is thirsty. Hypothesis: Orlando can now know that Maria is thirsty. |
The hypothesis logically follows the premise | Premise: There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to Vincent. It is publicly announced that someone picked a red card. It is publicly announced that Vincent picked a black card. Hypothesis: Vincent can now know whether or not everyone picked a red card. |
The hypothesis logically follows the premise | Premise: There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Bobby knows whether Charles's forehead is muddy. It is publicly announced that Bobby does not know whether or not everyone's forehead is muddy. Hypothesis: Charles can now know whether Bobby can know that someone's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. Hypothesis: Carlos can now know that Robert can know that Carlos's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lowell's card is shown to Anna. Anna's card is shown to Lowell. Joseph's card is shown to Lowell. Joseph's card is shown to Joseph. It is publicly announced that someone picked a red card. It is publicly announced that Joseph does not know whether Anna picked a red card. Hypothesis: Lowell can now know whether Joseph can know that everyone picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Andrew knows whether Andrew is thirsty. It is publicly announced that Andrew is not thirsty. Hypothesis: Andrew can now know that Clifford is thirsty. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amy's card is shown to Amy. Amy's card is shown to Robert. Amy's card is shown to Alfonso. Robert's card is shown to Donovan. It is publicly announced that someone picked a red card. It is publicly announced that Alfonso does not know whether Alfonso picked a red card. Hypothesis: Donovan can now know whether Amy can know whether Amy picked a red card. |
The hypothesis logically follows the premise | Premise: There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Eddie knows whether or not everyone's forehead is muddy. It is publicly announced that Eddie knows whether someone's forehead is muddy. It is publicly announced that Eddie knows whether Eddie's forehead is muddy. Hypothesis: Eddie can now know that someone's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that James's forehead is not muddy. It is publicly announced that James knows whether someone's forehead is muddy. Hypothesis: James can now know that everyone's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Chanda's card is shown to Robert. Jose's card is shown to Karl. It is publicly announced that someone picked a red card. Hypothesis: Robert can now know that Karl picked a red card. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. Hypothesis: Timothy can now know that Trinidad can know that someone's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Louis's card is shown to Clara. John's card is shown to Clara. Cory's card is shown to Cory. Clara's card is shown to John. Louis's card is shown to John. It is publicly announced that someone picked a red card. It is publicly announced that Cory picked a black card. Hypothesis: Cory can now know whether Louis picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christopher's card is shown to Pamela. Pamela's card is shown to Christopher. Irma's card is shown to Christopher. Christopher's card is shown to Irma. It is publicly announced that someone picked a red card. It is publicly announced that Christopher does not know whether Christopher picked a red card. It is publicly announced that Irma does not know whether Pamela picked a red card. It is publicly announced that Pamela does not know whether or not everyone picked a red card. Hypothesis: Irma can now know that Pamela picked a red card. |
The hypothesis logically follows the premise | Premise: There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Barbara knows whether Barbara's forehead is muddy. It is publicly announced that Jennifer knows whether Martha's forehead is muddy. Hypothesis: Barbara can now know that Martha can know whether Barbara's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jose does not know whether Robert is thirsty. Hypothesis: Elizabeth can now know whether Robert can know that John is thirsty. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carl's card is shown to Percy. Ola's card is shown to Carl. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. Hypothesis: Carl can now know that Carl picked a red card. |
The hypothesis logically follows the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ann does not know whether Lisa is thirsty. It is publicly announced that Ann does not know whether or not everyone is thirsty. It is publicly announced that Chung knows whether Ann is thirsty. It is publicly announced that Lisa does not know whether or not everyone is thirsty. Hypothesis: Ann can now know whether Chung can know whether or not nobody is thirsty. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Tomasa does not know whether Tomasa's forehead is muddy. It is publicly announced that Helen does not know whether Helen's forehead is muddy. It is publicly announced that Tomasa knows whether or not nobody's forehead is muddy. Hypothesis: Stella can now know whether Helen can know that everyone's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. Hypothesis: Alfonzo can now know that Edward can know whether Edward's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. Hypothesis: Jean can now know that Joshua can know that nobody's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Maria knows whether Maria's forehead is muddy. It is publicly announced that Matthew knows whether or not everyone's forehead is muddy. Hypothesis: Jerry can now know that Maria can know whether Matthew's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Colin knows whether someone's forehead is muddy. Hypothesis: Sherry can now know whether Sherry's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mac knows whether Mac's forehead is muddy. Hypothesis: Beverly can now know that Michael can know that nobody's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joseph knows whether or not nobody is thirsty. Hypothesis: Billy can now know that Joseph can know that everyone is thirsty. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Maxine's card is shown to Lacy. Lacy's card is shown to Wilma. Maxine's card is shown to Paula. It is publicly announced that someone picked a red card. It is publicly announced that Lacy picked a red card. It is publicly announced that Lacy does not know whether Wilma picked a red card. It is publicly announced that Wilma does not know whether Paula picked a red card. Hypothesis: Wilma can now know whether Lacy can know that someone picked a red card. |
The hypothesis logically follows the premise | Premise: There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. It is publicly announced that Tyler knows whether or not nobody's forehead is muddy. Hypothesis: Wilma can now know whether Tyler can know whether Wilma's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maria does not know whether Jose is thirsty. It is publicly announced that Carrie does not know whether Jose is thirsty. It is publicly announced that Carrie does not know whether Jose is thirsty. Hypothesis: Carrie can now know whether Maria is thirsty. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Greg does not know whether or not everyone is thirsty. Hypothesis: John can now know that Thomas can know whether or not nobody is thirsty. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rachel's card is shown to Kendall. Rachel's card is shown to Rachel. Robert's card is shown to Rachel. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. Hypothesis: Rachel can now know that everyone picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tina's card is shown to Carlene. Scott's card is shown to Scott. Tina's card is shown to Scott. Scott's card is shown to Tina. Tina's card is shown to Tina. It is publicly announced that someone picked a red card. It is publicly announced that Tina picked a red card. It is publicly announced that Tina does not know whether Carlene picked a red card. It is publicly announced that Tina knows whether someone picked a red card. It is publicly announced that someone picked a red card. Hypothesis: Tina can now know that Scott picked a red card. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Michelle knows whether or not nobody's forehead is muddy. Hypothesis: Lucinda can now know whether James can know whether William's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lynette's card is shown to Alma. Christopher's card is shown to Alma. Alma's card is shown to Lynette. Alma's card is shown to Christopher. It is publicly announced that someone picked a red card. It is publicly announced that Christopher does not know whether Lynette picked a red card. Hypothesis: Christopher can now know whether Lynette picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Yvonne's card is shown to Michael. Michael's card is shown to Yvonne. Elizabeth's card is shown to Elizabeth. It is publicly announced that someone picked a red card. It is publicly announced that Elizabeth does not know whether Nellie picked a red card. Hypothesis: Yvonne can now know that Michael can know that everyone picked a red card. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Pei knows whether Pei's forehead is muddy. It is publicly announced that Billy knows whether or not everyone's forehead is muddy. It is publicly announced that Dalila knows whether Pei's forehead is muddy. Hypothesis: Dalila can now know whether Billy can know whether or not nobody's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jane does not know whether or not everyone is thirsty. Hypothesis: Jane can now know whether Carol can know that Jane is thirsty. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Andrew knows whether someone is thirsty. Hypothesis: Andrew can now know that nobody is thirsty. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carl does not know whether Christopher is thirsty. It is publicly announced that Carl is not thirsty. It is publicly announced that not everyone is thirsty. Hypothesis: Erin can now know whether Olivia can know whether someone is thirsty. |
The hypothesis logically follows the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that John knows whether Christopher's forehead is muddy. It is publicly announced that Christopher does not know whether or not everyone's forehead is muddy. Hypothesis: Patricia can now know that someone's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Peter does not know whether Andres is thirsty. Hypothesis: James can now know that Andres can know that everyone is thirsty. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mary's forehead is muddy. Hypothesis: Mary can now know whether Michael's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Nathaniel knows whether someone is thirsty. Hypothesis: Alta can now know whether someone is thirsty. |
The hypothesis does not logically follow the premise | Premise: There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ruth knows whether or not everyone is thirsty. It is publicly announced that Miranda knows whether Miranda is thirsty. Hypothesis: Miranda can now know that Ruth is thirsty. |
The hypothesis logically follows the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Wayne is thirsty. It is publicly announced that John does not know whether Amanda is thirsty. It is publicly announced that Wayne is thirsty. It is publicly announced that Amanda does not know whether John is thirsty. Hypothesis: John can now know that Wayne can know that Wayne is thirsty. |
The hypothesis logically follows the premise | Premise: There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Greg's card is shown to Greg. Shirley's card is shown to Greg. It is publicly announced that someone picked a red card. Hypothesis: Greg can now know whether or not nobody picked a red card. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. Hypothesis: Robert can now know that Bradley can know that everyone's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ashley's forehead is muddy. Hypothesis: Alease can now know that Ashley can know that nobody's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that David knows whether someone's forehead is muddy. Hypothesis: Albert can now know that Eric's forehead is muddy. |
The hypothesis logically follows the premise | Premise: There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Rick does not know whether Rick's forehead is muddy. Hypothesis: Rick can now know whether David's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether Shawnda is thirsty. It is publicly announced that Shawnda does not know whether Robert is thirsty. Hypothesis: William can now know that everyone is thirsty. |
The hypothesis does not logically follow the premise | Premise: There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. Hypothesis: Jacqueline can now know that Kenneth can know that Jacqueline's forehead is muddy. |
The hypothesis does not logically follow the premise | Premise: There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Rena's forehead is muddy. Hypothesis: Richard can now know that Rena can know that nobody's forehead is muddy. |