Combining Texts

All the ideas for 'On Being (frags)', 'The Philosophy of Logic' and 'Quodlibeta'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
Very large sets should be studied in an 'if-then' spirit [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
We must quantify over numbers for science; but that commits us to their existence [Putnam]
8. Modes of Existence / B. Properties / 8. Properties as Modes
Whiteness does not exist, but by it something can exist-as-white [Aquinas]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Senses grasp external properties, but the understanding grasps the essential natures of things [Aquinas]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
Initial universal truths are present within us as potential, to be drawn out by reason [Aquinas]
12. Knowledge Sources / B. Perception / 3. Representation
Minds take in a likeness of things, which activates an awaiting potential [Aquinas]