Combining Philosophers

All the ideas for Blaise Pascal, Cappelen,H/Dever,Josh and Euclid

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46 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
The heart has its reasons of which reason knows nothing [Pascal]
2. Reason / E. Argument / 1. Argument
A 'teepee' argument has several mutually supporting planks to it [Cappelen/Dever]
2. Reason / E. Argument / 6. Conclusive Proof
Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / c. Derivations rules of PC
If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]
5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
A unit is that according to which each existing thing is said to be one [Euclid]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Postulate 2 says a line can be extended continuously [Euclid, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid]
Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend]
Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid]
Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays]
Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
The first principles of truth are not rational, but are known by the heart [Pascal]
16. Persons / C. Self-Awareness / 2. Knowing the Self
Prioprioception focuses on your body parts, not on your self, or indexicality [Cappelen/Dever]
We can acquire self-knowledge with mirrors, not just with proprioception and introspection [Cappelen/Dever]
Proprioception is only immune from error if you are certain that it represents the agent [Cappelen/Dever]
17. Mind and Body / C. Functionalism / 1. Functionalism
Folk Functionalism is a Ramsification of our folk psychology [Cappelen/Dever]
18. Thought / A. Modes of Thought / 9. Indexical Thought
It is assumed that indexical content is needed to represent the perspective of perception [Cappelen/Dever]
All information is objective, and purely indexical information is not much use [Cappelen/Dever]
If some of our thought is tied to its context, it will be hard to communicate it [Cappelen/Dever]
You don't remember your house interior just from an experienced viewpoint [Cappelen/Dever]
Our beliefs and desires are not organised around ourselves, but around the world [Cappelen/Dever]
Indexicality is not significantly connected to agency [Cappelen/Dever]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregeans can't agree on what 'senses' are [Cappelen/Dever]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
Possible worlds accounts of content are notoriously coarse-grained [Cappelen/Dever]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
Indexicals are just non-constant in meaning, and don't involve any special concepts [Cappelen/Dever]
Fregeans say 'I' differs in reference, so it must also differ in sense [Cappelen/Dever]
All indexicals can be expressed non-indexically [Cappelen/Dever]
19. Language / F. Communication / 1. Rhetoric
We only want to know things so that we can talk about them [Pascal]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
The basic Kaplan view is that there is truth-conditional content, and contextual character [Cappelen/Dever]
It is proposed that a huge range of linguistic items are context-sensitive [Cappelen/Dever]
20. Action / C. Motives for Action / 2. Acting on Beliefs / b. Action cognitivism
We deny that action involves some special class of beliefs [Cappelen/Dever]
21. Aesthetics / C. Artistic Issues / 3. Artistic Representation
Painting makes us admire things of which we do not admire the originals [Pascal]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
It is a funny sort of justice whose limits are marked by a river [Pascal]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Imagination creates beauty, justice and happiness, which is the supreme good [Pascal]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
We live for the past or future, and so are never happy in the present [Pascal]
23. Ethics / F. Existentialism / 3. Angst
If man considers himself as lost and imprisoned in the universe, he will be terrified [Pascal]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Majority opinion is visible and authoritative, although not very clever [Pascal]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
It is not good to be too free [Pascal]
28. God / B. Proving God / 2. Proofs of Reason / d. Pascal's Wager
Pascal knows you can't force belief, but you can make it much more probable [Pascal, by Hacking]
Pascal is right, but relies on the unsupported claim of a half as the chance of God's existence [Hacking on Pascal]
The libertine would lose a life of enjoyable sin if he chose the cloisters [Hacking on Pascal]
If you win the wager on God's existence you win everything, if you lose you lose nothing [Pascal]