Combining Philosophers

All the ideas for Euclid, Micklethwait,J/Wooldridge,A and Pascal Engel

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33 ideas

1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
In "if and only if" (iff), "if" expresses the sufficient condition, and "only if" the necessary condition [Engel]
2. Reason / E. Argument / 6. Conclusive Proof
Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
3. Truth / A. Truth Problems / 5. Truth Bearers
Are truth-bearers propositions, or ideas/beliefs, or sentences/utterances? [Engel]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
The redundancy theory gets rid of facts, for 'it is a fact that p' just means 'p' [Engel]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
We can't explain the corresponding structure of the world except by referring to our thoughts [Engel]
3. Truth / D. Coherence Truth / 1. Coherence Truth
The coherence theory says truth is an internal relationship between groups of truth-bearers [Engel]
3. Truth / D. Coherence Truth / 2. Coherence Truth Critique
Any coherent set of beliefs can be made more coherent by adding some false beliefs [Engel]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationism seems to block philosophers' main occupation, asking metatheoretical questions [Engel]
Deflationism cannot explain why we hold beliefs for reasons [Engel]
3. Truth / H. Deflationary Truth / 3. Minimalist Truth
Maybe there is no more to be said about 'true' than there is about the function of 'and' in logic [Engel]
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 / A. Overview of Logic / 5. First-Order Logic
Classical liberalism seeks freedom of opinion, of private life, of expression, and of property [Micklethwait/Wooldridge]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Deflationism must reduce bivalence ('p is true or false') to excluded middle ('p or not-p') [Engel]
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]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
The Humean theory of motivation is that beliefs may be motivators as well as desires [Engel]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Our beliefs are meant to fit the world (i.e. be true), where we want the world to fit our desires [Engel]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
'Evidentialists' say, and 'voluntarists' deny, that we only believe on the basis of evidence [Engel]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
Pragmatism is better understood as a theory of belief than as a theory of truth [Engel]
13. Knowledge Criteria / C. External Justification / 5. Controlling Beliefs
We cannot directly control our beliefs, but we can control the causes of our involuntary beliefs [Engel]
17. Mind and Body / C. Functionalism / 1. Functionalism
Mental states as functions are second-order properties, realised by first-order physical properties [Engel]
24. Political Theory / D. Ideologies / 8. Socialism
The welfare state aims at freedom from want, and equality of opportunity [Micklethwait/Wooldridge]
24. Political Theory / D. Ideologies / 9. Communism
For communists history is driven by the proletariat [Micklethwait/Wooldridge]
24. Political Theory / D. Ideologies / 11. Capitalism
Fans of economic freedom claim that capitalism is self-correcting [Micklethwait/Wooldridge]
25. Social Practice / C. Rights / 4. Property rights
Roman law entrenched property rights [Micklethwait/Wooldridge]