Combining Texts

All the ideas for 'Sententia on 'De Caelo'', 'Absolute Necessities' and 'Counting and the Natural Numbers'

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12 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly

22101

Philosophy aims to know the truth about the way things are [Aquinas]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers

17423

The essence of natural numbers must reflect all the functions they perform [Sicha]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17424

Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]

17425

To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]

10. Modality / A. Necessity / 2. Nature of Necessity

15086

Absolute necessity might be achievable either logically or metaphysically [Hale]

10. Modality / A. Necessity / 3. Types of Necessity

8261	Maybe not-p is logically possible, but p is metaphysically necessary, so the latter is not absolute [Hale]

15080

'Relative' necessity is just a logical consequence of some statements ('strong' if they are all true) [Hale]

15081

A strong necessity entails a weaker one, but not conversely; possibilities go the other way [Hale]

10. Modality / A. Necessity / 5. Metaphysical Necessity

15082

Metaphysical necessity says there is no possibility of falsehood [Hale]

10. Modality / A. Necessity / 6. Logical Necessity

15085

'Broadly' logical necessities are derived (in a structure) entirely from the concepts [Hale]

15088

Logical necessities are true in virtue of the nature of all logical concepts [Hale]

10. Modality / C. Sources of Modality / 4. Necessity from Concepts

15087

Conceptual necessities are made true by all concepts [Hale]