Ideas from 'Apriority and Existence' by Stephen Yablo [2000], by Theme Structure

[found in 'New Essays on the A Priori' (ed/tr Boghossian,P /Peacocke,C) [OUP 2000,0-19-924127-9]].

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4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
The main modal logics disagree over three key formulae
6. Mathematics / A. Nature of Mathematics / 3. Numbers / a. Numbers
If 'the number of Democrats is on the rise', does that mean that 50 million is on the rise?
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
We must treat numbers as existing in order to express ourselves about the arrangement of planets
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Platonic objects are really created as existential metaphors
7. Existence / D. Theories of Reality / 6. Fictionalism
We quantify over events, worlds, etc. in order to make logical possibilities clearer
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
Philosophers keep finding unexpected objects, like models, worlds, functions, numbers, events, sets, properties
19. Language / A. Language / 5. Metaphor
Hardly a word in the language is devoid of metaphorical potential