Combining Texts

All the ideas for 'fragments/reports', 'Knowledge First (and reply)' and 'Mathematics without Numbers'

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16 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
We don't acquire evidence and then derive some knowledge, because evidence IS knowledge [Williamson]
Knowledge is prior to believing, just as doing is prior to trying to do [Williamson]
Belief explains justification, and knowledge explains belief, so knowledge explains justification [Williamson]
A neutral state of experience, between error and knowledge, is not basic; the successful state is basic [Williamson]
Internalism about mind is an obsolete view, and knowledge-first epistemology develops externalism [Williamson]
Knowledge-first says your total evidence IS your knowledge [Williamson]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
Surely I am acquainted with physical objects, not with appearances? [Williamson]
19. Language / C. Assigning Meanings / 2. Semantics
How does inferentialism distinguish the patterns of inference that are essential to meaning? [Williamson]
Internalist inferentialism has trouble explaining how meaning and reference relate [Williamson]
Inferentialist semantics relies on internal inference relations, not on external references [Williamson]
19. Language / C. Assigning Meanings / 7. Extensional Semantics
Truth-conditional referential semantics is externalist, referring to worldly items [Williamson]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]