Infinity Quotes - page 8
Plato... introduces two infinities, because both in increase and diminution there appears to be transcendency, and a progression to infinity. Though... he did not use them: for neither is there infinity in numbers by diminution or division; since unity is a minimum: nor by increase; for he extends number as far as to the decad.
Aristotle
Since... nature is a principle of motion and mutation... it is necessary that we should not be ignorant of what motion is... But motion appears to belong to things continuous; and the infinite first presents itself to the view in that which is continuous. ...[F]requently ...those who define the continuous, employ the nature or the infinite, as if that which is divisible to infinity is continuous.
Aristotle
As regards the objection that possibles are independent of the decrees of God I grant it of actual decrees (although the Cartesians do not at all agree to this), but I maintain that the possible individual concepts involve certain possible free decrees; for example, if this world was only possible, the individual concept of a particular body in this world would involve certain movements as possible, it would also involve the laws of motion, which are the free decrees of God; but these, also, only as possibilities. Because, as there are an infinity of possible worlds, there are also an infinity of laws, certain ones appropriate to one; others, to another, and each possible individual of any world involves in its concept the laws of its world.
Gottfried Leibniz
Mathematics is so useful because physical scientists and engineers have the good sense to largely ignore the "religious" fanaticism of professional mathematicians, and their insistence on so-called rigor, that in many cases is misplaced and hypocritical, since it is based on "axioms" that are completely fictional, i.e. those that involve the so-called infinity.
Doron Zeilberger
Mr. Clerselier has written me that you are expecting from him my Meditations... in order to present them to the queen of the land. ...If I had only been as wise as they say the savages persuaded themselves that the monkeys were, I never would have become known as a maker of books: Since it is said that they imagined that the monkeys could indeed speak, if they wanted to, but that they chose not to so lest they be forced to work. And since I had not the same prudence to abstain from writing, I now have neither as much liesure nor as much peace as I would have had if I had kept quiet. But since the mistake has already been made, and since I am now known by an infinity of people at the academy, who look askance at my writings and scour them for means of harming me, I do have great hope of being known to persons of great merit, whose power and virtue could protect me.
René Descartes
Pierrette, like all those who suffer more than they have strength to bear, kept silence.Silence is the only weapon by which such victims can conquer; it baffles the Cossack charges of envy, the savage skirmishings of suspicion; it does at times give victory, crushing and complete, - for what is more complete than silence? it is absolute; it is one of the attributes of infinity.
Honoré de Balzac
The rational soul in a certain manner possesses the excellence of infinity and eternity. If this were not the case, it would never characteristically incline toward the infinite. Undoubtedly this is the reason that there are none among men who live contentedly on earth and are satisfied with merely temporal possessions.
Marsilio Ficino
We're finite creatures, doomed to never get a fraction of what wisdom it would take to deal with infinity. My book has a lot to do with the unbelievable power and beauty of that almost unattainable freedom. Since none of us really gets to know it, we don't know what extremely powerful dangers might lurk in it.
Nick Tosches
Therefore, it is you, the giver of life and being, who seem to be sought in the different rites by different ways and are named with different names, because as you are you remain unknown and ineffable to all. For you who are infinite power are none of those things which you have created, nor can a creature grasp the concept of your infinity since there is no proportion between the finite and the infinite. But you, almighty God, who are invisible to every mind, are able to show yourself as visible to whom you will and in the way in which you can be grasped. Therefore, do not hide yourself any longer, O Lord; be merciful and show your face, and all peoples will be saved who are no longer able to forsake the source of life and its sweetness when they have had even a little foretaste of them. For no one withdraws from you unless he does not know you.
Nicholas of Cusa
