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All the ideas for 'Frege philosophy of mathematics', 'Identity and Necessity' and 'Unpublished Notebooks 1884-85'

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66 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
All the major problems were formulated before Socrates [Nietzsche]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
What matters is how humans can be developed [Nietzsche]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Thinkers might agree some provisional truths, as methodological assumptions [Nietzsche]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Aristotle enjoyed the sham generalities of a system, as the peak of happiness! [Nietzsche]
1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
Thoughts are uncertain, and are just occasions for interpretation [Nietzsche]
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]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Mathematics is just accurate inferences from definitions, and doesn't involve objects [Nietzsche]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
We may fix the reference of 'Cicero' by a description, but thereafter the name is rigid [Kripke]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
The function of names is simply to refer [Kripke]
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 / A. Nature of Existence / 3. Being / i. Deflating being
There is no 'being'; it is just the opposition to nothingness [Nietzsche]
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 / 5. Naturalism
I only want thinking that is anchored in body, senses and earth [Nietzsche]
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]
10. Modality / D. Knowledge of Modality / 3. A Posteriori Necessary
It is necessary that this table is not made of ice, but we don't know it a priori [Kripke]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
A 'rigid designator' designates the same object in all possible worlds [Kripke]
We cannot say that Nixon might have been a different man from the one he actually was [Kripke]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
Modal statements about this table never refer to counterparts; that confuses epistemology and metaphysics [Kripke]
11. Knowledge Aims / A. Knowledge / 2. Understanding
We can only understand through concepts, which subsume particulars in generalities [Nietzsche]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
Strongly believed a priori is not certain; it may just be a feature of our existence [Nietzsche]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
An affirmative belief is present in every basic sense impression [Nietzsche]
13. Knowledge Criteria / E. Relativism / 1. Relativism
We now have innumerable perspectives to draw on [Nietzsche]
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Mind is a mechanism of abstraction and simplification, aimed at control [Nietzsche]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
A cognitive mechanism wanting to know itself is absurd! [Nietzsche]
16. Persons / E. Rejecting the Self / 1. Self as Indeterminate
A 'person' is just one possible abstraction from a bundle of qualities [Nietzsche]
16. Persons / F. Free Will / 6. Determinism / b. Fate
I have perfected fatalism, as recurrence and denial of the will [Nietzsche]
Fate is inspiring, if you understand you are part of it [Nietzsche]
17. Mind and Body / A. Mind-Body Dualism / 7. Zombies
Identity theorists must deny that pains can be imagined without brain states [Kripke]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / e. Modal argument
Pain, unlike heat, is picked out by an essential property [Kripke]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
We start with images, then words, and then concepts, to which emotions attach [Nietzsche]
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]
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]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Judging actions by intentions - like judging painters by their thoughts! [Nietzsche]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
Values need a perspective, of preserving some aspect of life [Nietzsche]
22. Metaethics / B. Value / 2. Values / g. Love
If you love something, it is connected with everything, so all must be affirmed as good [Nietzsche]
22. Metaethics / B. Value / 2. Values / i. Self-interest
Egoism should not assume that all egos are equal [Nietzsche]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
After Socrates virtue is misunderstood, as good for all, not for individuals [Nietzsche]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
We contain multitudes of characters, which can brought into the open [Nietzsche]
23. Ethics / F. Existentialism / 8. Eternal Recurrence
Who can endure the thought of eternal recurrence? [Nietzsche]
If you want one experience repeated, you must want all of them [Nietzsche]
24. Political Theory / B. Nature of a State / 4. Citizenship
Humans are determined by community, so its preservation is their most valued drive [Nietzsche]
25. Social Practice / A. Freedoms / 1. Slavery
There is always slavery, whether we like it or not [Nietzsche]
25. Social Practice / E. Policies / 5. Education / d. Study of history
After history following God, or a people, or an idea, we now see it in terms of animals [Nietzsche]
26. Natural Theory / C. Causation / 7. Eliminating causation
Cause and effect is a hypothesis, based on our supposed willing of actions [Nietzsche]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
Having a sense of time presupposes absolute time [Nietzsche]