The totality of all alephs cannot be conceived as a determinate, well-defined, and also a finished set. This is the punctum saliens, and I venture to say that this completely certain theorem, provable rigorously from the definition of the totality of all alephs, is the most important and noblest theorem of set theory. One must only understand the expression "finished" correctly. I say of a set that it can be thought of as finished (and call such a set, if it contains infinitely many elements, "transfinite" or "suprafinite") if it is possible without contradiction (as can be done with finite sets) to think of all its elements as existing together, and to to think of the set itself as a compounded thing for itself; or (in other words) if it is possible to imagine the set as actually existing with the totality of its elements.
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Letter to David Hilbert (2 October 1897)Georg Cantor
Nature consists of the elements given by the senses. Primitive man first takes out of them certain complexes of these elements that present themselves with a certain stability and are most important to him. The first and oldest words are names for "things". ... The sensations are no "symbols of things". On the contrary the "thing" is a mental symbol for a sensation-complex of relative stability. Not the things, the bodies, but colours, sounds, pressures, times (what we usually call sensations) are the true elements of the world.
Ernst Mach
The Buddha said, "Elements come together and form this body. At the time of appearing, elements appear. At the time of disappearing, elements disappear. When elements appear, I do not say "I" appear. When elements disappear, I do not say "I" disappear. Past moments and future moments do not arise in sequence. Past elements and future elements are not in alignment. This is the meaning of ocean mudra samadhi."
Closely investigate these words by the Buddha. Attaining the way and entering realization does not necessarily require extensive learning or realization. Anyone can attain the way through a simple verse of four lines. Even scholars of extensive learning can enter realization through a one line verse.Dogen
Philosophy is the self-correction by consciousness of its own initial excess of subjectivity. Each actual occasion contributes to the circumstances of its origin additional formative elements deepening its own peculiar individuality. Consciousness is only the last and greatest of such elements by which the selective character of the individual obscures the external totality from which it originates and which it embodies. An actual individual, of such higher grade, has truck with the totality of things by reason of its sheer actuality; but it has attained its individual depth of being by a selective emphasis limited to its own purposes. The task of philosophy is to recover the totality obscured by the selection.
Alfred North Whitehead
Comparatively few of the propositions and proofs in the Elements are his [Euclid's] own discoveries. In fact, the proof of the "Theorem of Pythagoras" is the only one directly ascribed to him.
Euclid
You have no control over your cat! You can't say to your cat, "Cat, heel! Stay! Wait! Lie down! Roll over!" 'Cause the cat's just gonna be sitting there going, "Interesting words … have you finished?" While you're shouting all this to your cat, your dog's next to you, going … [mimes obeying all commands] "What the hell are you doing? I'm talking to the cat!" "Oh, I'm sorry!"
Eddie Izzard
Cantor, Georg
Capa, Robert
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