“...since there is an equal chance of gain and loss, if you stood to win only two lives for one you could still
wager, but supposing you stood to win three?
...it would be unwise of you, since you are obliged to play, not to risk your life in order to win three lives
at a game in which there is an equal chance of winning and losing. ... But here there is an infinity of happy
life to
be won,
one chance of winning against a finite number of chances of losing, and what you are staking is finite. That
leaves no
choice; wherever there is infinity, and where there are not infinite chances of losing against that of winning,
there
is no room for hesitation, you must give everything. And thus, since you are obliged to play, you must be
renouncing
reason if you hoard your life rather than risk it for an infinite gain, just as likely to occur as a loss
amounting to
nothing.”