Combining Texts

All the ideas for 'The Problem of Empty Names', 'Elbow Room: varieties of free will' and 'Sets, Aggregates and Numbers'

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16 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
An overexamined life is as bad as an unexamined one [Dennett]
2. Reason / A. Nature of Reason / 9. Limits of Reason
Rationality requires the assumption that things are either for better or worse [Dennett]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer]
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]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
Why pronounce impossible what you cannot imagine? [Dennett]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
Causal theories require the "right" sort of link (usually unspecified) [Dennett]
16. Persons / A. Concept of a Person / 4. Persons as Agents
I am the sum total of what I directly control [Dennett]
16. Persons / F. Free Will / 1. Nature of Free Will
You can be free even though force would have prevented you doing otherwise [Dennett, by PG]
Can we conceive of a being with a will freer than our own? [Dennett]
16. Persons / F. Free Will / 2. Sources of Free Will
Awareness of thought is a step beyond awareness of the world [Dennett]
Foreknowledge permits control [Dennett]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
The active self is a fiction created because we are ignorant of our motivations [Dennett]