Combining Texts

All the ideas for 'The Varieties of Necessity', 'Isolation and Non-arbitrary Division' and 'Paradoxes of the Infinite'

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10 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
9987 An aggregate in which order does not matter I call a 'set' [Bolzano]
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
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]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10856 A truly infinite quantity does not need to be a variable [Bolzano]
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]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
9216 Each area of enquiry, and its source, has its own distinctive type of necessity [Fine,K]
13. Knowledge Criteria / C. External Justification / 7. Testimony
9214 Unsupported testimony may still be believable [Fine,K]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
9215 Causation is easier to disrupt than logic, so metaphysics is part of nature, not vice versa [Fine,K]