Combining Texts

All the ideas for 'The Intelligence of Evil', 'Philosophy of Language' and 'Nature and Meaning of Numbers'

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46 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
There is no longer anything on which there is nothing to say [Baudrillard]
2. Reason / A. Nature of Reason / 5. Objectivity
The task of philosophy is to unmask the illusion of objective reality [Baudrillard]
2. Reason / A. Nature of Reason / 9. Limits of Reason
Drunken boat pilots are less likely to collide than clearly focused ones [Baudrillard]
2. Reason / C. Styles of Reason / 1. Dialectic
Instead of thesis and antithesis leading to synthesis, they now cancel out, and the conflict is levelled [Baudrillard]
2. Reason / D. Definition / 9. Recursive Definition
Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
An infinite set maps into its own proper subset [Dedekind, by Reck/Price]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
We have the idea of self, and an idea of that idea, and so on, so infinite ideas are available [Dedekind, by Potter]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Dedekind originally thought more in terms of mereology than of sets [Dedekind, by Potter]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Singular terms refer, using proper names, definite descriptions, singular personal pronouns, demonstratives, etc. [Lycan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Numbers are free creations of the human mind, to understand differences [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Dedekind defined the integers, rationals and reals in terms of just the natural numbers [Dedekind, by George/Velleman]
Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck]
Order, not quantity, is central to defining numbers [Dedekind, by Monk]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Dedekind's ordinals are just members of any progression whatever [Dedekind, by Russell]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
Dedekind's axiom that his Cut must be filled has the advantages of theft over honest toil [Dedekind, by Russell]
Dedekind says each cut matches a real; logicists say the cuts are the reals [Dedekind, by Bostock]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
In counting we see the human ability to relate, correspond and represent [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A system S is said to be infinite when it is similar to a proper part of itself [Dedekind]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Dedekind gives a base number which isn't a successor, then adds successors and induction [Dedekind, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Zero is a member, and all successors; numbers are the intersection of sets satisfying this [Dedekind, by Bostock]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Categoricity implies that Dedekind has characterised the numbers, because it has one domain [Rumfitt on Dedekind]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
Induction is proved in Dedekind, an axiom in Peano; the latter seems simpler and clearer [Dedekind, by Russell]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Dedekind originated the structuralist conception of mathematics [Dedekind, by MacBride]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Dedekindian abstraction talks of 'positions', where Cantorian abstraction talks of similar objects [Dedekind, by Fine,K]
7. Existence / D. Theories of Reality / 3. Reality
Without God we faced reality: what do we face without reality? [Baudrillard]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
Nothing is true, but everything is exact [Baudrillard]
9. Objects / A. Existence of Objects / 3. Objects in Thought
A thing is completely determined by all that can be thought concerning it [Dedekind]
16. Persons / F. Free Will / 5. Against Free Will
There is no need to involve the idea of free will to make choices about one's life [Baudrillard]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Dedekind said numbers were abstracted from systems of objects, leaving only their position [Dedekind, by Dummett]
We derive the natural numbers, by neglecting everything of a system except distinctness and order [Dedekind]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Dedekind has a conception of abstraction which is not psychologistic [Dedekind, by Tait]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
The truth conditions theory sees meaning as representation [Lycan]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Meaning must be known before we can consider verification [Lycan]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Could I successfully use an expression, without actually understanding it? [Lycan]
It is hard to state a rule of use for a proper name [Lycan]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Truth conditions will come out the same for sentences with 'renate' or 'cordate' [Lycan]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
A sentence's truth conditions is the set of possible worlds in which the sentence is true [Lycan]
Possible worlds explain aspects of meaning neatly - entailment, for example, is the subset relation [Lycan]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
In modern times, being useless is the essential aesthetic ingredient for an object [Baudrillard]
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
Good versus evil has been banefully reduced to happiness versus misfortune [Baudrillard]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
Whole populations are terrorist threats to authorities, who unite against them [Baudrillard]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
People like democracy because it means they can avoid power [Baudrillard]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Only in the last 200 years have people demanded the democratic privilege of being individuals [Baudrillard]
25. Social Practice / E. Policies / 5. Education / d. Study of history
The arrival of the news media brought history to an end [Baudrillard]
25. Social Practice / F. Life Issues / 4. Suicide
Suicide is ascribed to depression, with the originality of the act of will ignored [Baudrillard]
28. God / B. Proving God / 2. Proofs of Reason / d. Pascal's Wager
Pascal says secular life is acceptable, but more fun with the hypothesis of God [Baudrillard]