Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Isolation and Non-arbitrary Division' and 'Quodlibeta'

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10 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
17435 Objects do not naturally form countable units [Koslicki]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17447 Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
17433 We can still count squares, even if they overlap [Koslicki]
17439 There is no deep reason why we count carrots but not asparagus [Koslicki]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
17434 We struggle to count branches and waves because our concepts lack clear boundaries [Koslicki]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
17436 We talk of snow as what stays the same, when it is a heap or drift or expanse [Koslicki]
8. Modes of Existence / B. Properties / 8. Properties as Modes
16641 Whiteness does not exist, but by it something can exist-as-white [Aquinas]
11. Knowledge Aims / A. Knowledge / 2. Understanding
22170 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
22169 Initial universal truths are present within us as potential, to be drawn out by reason [Aquinas]
12. Knowledge Sources / B. Perception / 3. Representation
22168 Minds take in a likeness of things, which activates an awaiting potential [Aquinas]