Combining Texts

All the ideas for 'talk', 'The Common-Sense View of Reality' and 'Sets, Aggregates and Numbers'

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12 ideas

1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
Metaphysics is hopeless with its present epistemology; common-sense realism is needed [Colvin]
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]
7. Existence / D. Theories of Reality / 2. Realism
We can only distinguish self from non-self if there is an inflexible external reality [Colvin]
Common-sense realism rests on our interests and practical life [Colvin]
7. Existence / D. Theories of Reality / 4. Anti-realism
Arguments that objects are unknowable or non-existent assume the knower's existence [Colvin]
If objects are doubted because their appearances change, that presupposes one object [Colvin]
The idea that everything is relations is contradictory; relations are part of the concept of things [Colvin]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]