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All the ideas for 'Frege philosophy of mathematics', 'Notice of Fine's 'Limits of Abstraction'' and 'The Intelligence of Evil'

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43 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 / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
A prime number is one which is measured by a unit alone [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A number is a multitude composed of units [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Set theory isn't part of logic, and why reduce to something more complex? [Dummett]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
7. Existence / D. Theories of Reality / 2. Realism
Realism is just the application of two-valued semantics to sentences [Dummett]
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]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
The existence of abstract objects is a pseudo-problem [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Abstract objects nowadays are those which are objective but not actual [Dummett]
It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects need the context principle, since they can't be encountered directly [Dummett]
9. Objects / F. Identity among Objects / 2. Defining Identity
Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
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 / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
An argument for conceptual priority is greater simplicity in explanation [Dummett]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
Abstraction theories build mathematics out of second-order equivalence principles [Cook/Ebert]
18. Thought / E. Abstraction / 8. Abstractionism Critique
To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
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]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]
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]