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Ideas for
'On the Question of Absolute Undecidability', 'Do Conditionals Have Truth Conditions?' and 'Isolation and Non-arbitrary Division'
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7 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
17435
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Objects do not naturally form countable units [Koslicki]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17433
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We can still count squares, even if they overlap [Koslicki]
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17439
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There is no deep reason why we count carrots but not asparagus [Koslicki]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
17434
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We struggle to count branches and waves because our concepts lack clear boundaries [Koslicki]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890
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There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887
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PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891
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Arithmetical undecidability is always settled at the next stage up [Koellner]
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