Combining Texts

All the ideas for 'fragments/reports', 'Sets, Aggregates and Numbers' and 'Epistemology Naturalized'

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15 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
You can ask all sorts of numerical questions about any one given set [Yourgrau]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematics reduces to set theory (which is a bit vague and unobvious), but not to logic proper [Quine]
13. Knowledge Criteria / C. External Justification / 9. Naturalised Epistemology
You can't reduce epistemology to psychology, because that presupposes epistemology [Maund on Quine]
We should abandon a search for justification or foundations, and focus on how knowledge is acquired [Quine, by Davidson]
If we abandon justification and normativity in epistemology, we must also abandon knowledge [Kim on Quine]
Without normativity, naturalized epistemology isn't even about beliefs [Kim on Quine]
Epistemology is a part of psychology, studying how our theories relate to our evidence [Quine]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
Alcmaeon was the first to say the brain is central to thinking [Alcmaeon, by Staden, von]
19. Language / A. Nature of Meaning / 1. Meaning
Inculcations of meanings of words rests ultimately on sensory evidence [Quine]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
In observation sentences, we could substitute community acceptance for analyticity [Quine]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
Soul must be immortal, since it continually moves, like the heavens [Alcmaeon, by Aristotle]