Combining Texts

All the ideas for 'What Price Bivalence?', 'Against the Professors (six books)' and 'What is Mathematical Truth?'

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8 ideas

3. Truth / A. Truth Problems / 5. Truth Bearers
It is only when we say a proposition that we speak truly or falsely [Sext.Empiricus]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Bivalence applies not just to sentences, but that general terms are true or false of each object [Quine]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
'Man is a rational mortal animal' is equivalent to 'if something is a man, that thing is a rational mortal animal' [Sext.Empiricus]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Terms learned by ostension tend to be vague, because that must be quick and unrefined [Quine]
10. Modality / B. Possibility / 1. Possibility
Mathematics eliminates possibility, as being simultaneous actuality in sets [Putnam]
14. Science / A. Basis of Science / 1. Observation
How can you investigate without some preconception of your object? [Sext.Empiricus]
23. Ethics / B. Contract Ethics / 9. Contractualism
Right actions, once done, are those with a reasonable justification [Sext.Empiricus]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
The tektraktys (1+2+3+4=10) is the 'fount of ever-flowing nature' [Sext.Empiricus]