user749: According to the Buddhist teachings all beings are subject to Samsara and one can escape Samsara as he finds enlightenment.
But if all beings were ultimately to be reborn, with exception of those that reached enlightenment, wouldn't that mean that there is a finite number of beings, which only decrements?

user295: According to Buddhism there are infinite number of beings. The number of Buddhas are like the grains of the sand in the banks of the Ganges. (Infiniti literally. ) The enlightened beings during a Buddha Sasana in also very large. 
Because there are infinite being though and infinite of beings have crossed don't reduce the number of beings. 

user20178: I am aware that the question posted is an imponderable and one among the unanswered questions by the Buddha, and doesn't help alleviate my suffering in samsara.
But just to give my thoughts on this, I seem to gravitate towards the notion of "infinite beings", because this universe seems infinitely huge. And only an infinite universe can host either finite or infinite number of beings, and latter is my bet. Not implying that the universe exists only because sentient beings live in it though.
Be that as it may, we will never decipher certain mysteries that lie behind the thicket of veil of ignorance, without rooting it out of our mind and reaching enlightenment. Peace.

user254: Learning mathematics, I was warned to beware of logic based on an informal or naive definition of infinity (it is tricky and error-prone, see for example Zeno's paradoxes).
According to Wikipedia, 4th century BCE Jain mathematicians distinguished between "uncountable" and "infinite" (see ref and ref and ref) but I'm not sure that other (Buddhist) literature/authors supported a similar, specific, precise, or modern meaning of the word "infinity".
Some of The unanswered questions are questions about infinity: including whether the world is infinitely large, and whether it's eternal.
If these two questions were unanswered for good reason, then perhaps your question should be too.

749: <p>According to the Buddhist teachings all beings are subject to Samsara and one can escape Samsara as he finds enlightenment.</p>

<p>But if all beings were ultimately to be reborn, with exception of those that reached enlightenment, wouldn't that mean that there is a finite number of beings, which only decrements?</p>
 295: <p>According to Buddhism there are infinite number of beings. The number of Buddhas are like the grains of the sand in the banks of the Ganges. (Infiniti literally. ) The enlightened beings during a Buddha Sasana in also very large. </p>

<p>Because there are infinite being though and infinite of beings have crossed don't reduce the number of beings. </p>
 20178: <p>I am aware that the question posted is an imponderable and one among the unanswered questions by the Buddha, and doesn't help alleviate my suffering in samsara.</p>
<p>But just to give my thoughts on this, I seem to gravitate towards the notion of &quot;infinite beings&quot;, because this universe seems infinitely huge. And only an infinite universe can host either finite or infinite number of beings, and latter is my bet. Not implying that the universe exists only because sentient beings live in it though.</p>
<p>Be that as it may, we will never decipher certain mysteries that lie behind the thicket of veil of ignorance, without rooting it out of our mind and reaching enlightenment. Peace.</p>
 254: <p>Learning mathematics, I was warned to beware of logic based on an informal or naive definition of infinity (it is tricky and error-prone, see for example Zeno's paradoxes).</p>

<p>According to Wikipedia, 4th century BCE Jain mathematicians distinguished between "uncountable" and "infinite" (see <a href="http://en.wikipedia.org/wiki/Indian_mathematics#Jain_Mathematics_.28400_BCE_.E2.80.93_200_CE.29" rel="nofollow">ref</a> and <a href="http://en.wikipedia.org/wiki/Infinity#Early_Indian" rel="nofollow">ref</a> and <a href="https://www.google.com/search?q=Surya+Prajnapti" rel="nofollow">ref</a>) but I'm not sure that other (Buddhist) literature/authors supported a similar, specific, precise, or modern meaning of the word "infinity".</p>

<p>Some of <a href="http://en.wikipedia.org/wiki/The_unanswered_questions" rel="nofollow">The unanswered questions</a> are questions about infinity: including whether the world is infinitely large, and whether it's eternal.</p>

<p>If these two questions were unanswered for good reason, then perhaps your question should be too.</p>
