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All the ideas for 'Frege philosophy of mathematics', 'Philosophical Investigations' and 'fragments/reports'

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97 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is a battle against the bewitchment of our intelligence by means of language [Wittgenstein]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
What is your aim in philosophy? - To show the fly the way out of the fly-bottle [Wittgenstein]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Bring words back from metaphysics to everyday use [Wittgenstein]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
The problem is to explain the role of contradiction in social life [Wittgenstein]
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 / E. Structures of Logic / 1. Logical Form
Wittgenstein says we want the grammar of problems, not their first-order logical structure [Wittgenstein, by Horsten/Pettigrew]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
Naming is a preparation for description [Wittgenstein]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
A name is not determined by a description, but by a cluster or family [Wittgenstein, by Kripke]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
No perceptible object is truly straight or curved [Protagoras]
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]
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 / D. Essence of Objects / 5. Essence as Kind
Essence is expressed by grammar [Wittgenstein]
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]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
The belief that fire burns is like the fear that it burns [Wittgenstein]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Everything that exists consists in being perceived [Protagoras]
Are sense-data the material of which the universe is made? [Wittgenstein]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
As sense-data are necessarily private, they are attacked by Wittgenstein's objections [Wittgenstein, by Robinson,H]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
How do I decide when to accept or obey an intuition? [Wittgenstein]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Protagoras was the first to claim that there are two contradictory arguments about everything [Protagoras, by Diog. Laertius]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
One can mistrust one's own senses, but not one's own beliefs [Wittgenstein]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Man is the measure of all things - of things that are, and of things that are not [Protagoras]
There is no more purely metaphysical doctrine than Protagorean relativism [Benardete,JA on Protagoras]
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
You can only state the problem of the relative warmth of an object by agreeing on the underlying object [Benardete,JA on Protagoras]
If my hot wind is your cold wind, then wind is neither hot nor cold, and so not as cold as itself [Benardete,JA on Protagoras]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
God is "the measure of all things", more than any man [Plato on Protagoras]
Protagoras absurdly thought that the knowing or perceiving man is 'the measure of all things' [Aristotle on Protagoras]
Relativists think if you poke your eye and see double, there must be two things [Aristotle on Protagoras]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / c. Knowing other minds
I don't have the opinion that people have minds; I just treat them as such [Wittgenstein]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
It is irresponsible to generalise from my own case of pain to other people's [Wittgenstein]
To imagine another's pain by my own, I must imagine a pain I don't feel, by one I do feel [Wittgenstein]
15. Nature of Minds / B. Features of Minds / 3. Privacy
If a lion could talk, we could not understand him [Wittgenstein]
If a lion could talk, it would be nothing like other lions [Dennett on Wittgenstein]
16. Persons / C. Self-Awareness / 1. Introspection
To say that I 'know' I am in pain means nothing more than that I AM in pain [Wittgenstein]
17. Mind and Body / D. Property Dualism / 6. Mysterianism
Why are we not aware of the huge gap between mind and brain in ordinary life? [Wittgenstein]
18. Thought / A. Modes of Thought / 10. Rule Following
An 'inner process' stands in need of outward criteria [Wittgenstein]
Every course of action can either accord or conflict with a rule, so there is no accord or conflict [Wittgenstein]
One cannot obey a rule 'privately', because that is a practice, not the same as thinking one is obeying [Wittgenstein]
If individuals can't tell if they are following a rule, how does a community do it? [Grayling on Wittgenstein]
18. Thought / C. Content / 6. Broad Content
Is white simple, or does it consist of the colours of the rainbow? [Wittgenstein]
Externalist accounts of mental content begin in Wittgenstein [Wittgenstein, by Heil]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
Possessing a concept is knowing how to go on [Wittgenstein, by Peacocke]
Concepts direct our interests and investigations, and express those interests [Wittgenstein]
Man learns the concept of the past by remembering [Wittgenstein]
18. Thought / D. Concepts / 4. Structure of Concepts / h. Family resemblance
Various games have a 'family resemblance', as their similarities overlap and criss-cross [Wittgenstein]
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 / A. Nature of Meaning / 1. Meaning
Wittgenstein rejected his earlier view that the form of language is the form of the world [Wittgenstein, by Morris,M]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Asking about verification is only one way of asking about the meaning of a proposition [Wittgenstein]
19. Language / A. Nature of Meaning / 6. Meaning as Use
For Wittgenstein, words are defined by their use, just as chess pieces are [Wittgenstein, by Fogelin]
We do not achieve meaning and understanding in our heads, but in the world [Wittgenstein, by Rowlands]
We all seem able to see quite clearly how sentences represent things when we use them [Wittgenstein]
In the majority of cases the meaning of a word is its use in the language [Wittgenstein]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
To understand a sentence means to understand a language [Wittgenstein]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
We don't have 'meanings' in our minds in addition to verbal expressions [Wittgenstein]
Make the following experiment: say "It's cold here" and mean "It's warm here" [Wittgenstein]
19. Language / B. Reference / 1. Reference theories
How do words refer to sensations? [Wittgenstein]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
The standard metre in Paris is neither one metre long nor not one metre long [Wittgenstein]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
19. Language / F. Communication / 4. Private Language
Was Wittgenstein's problem between individual and community, or between occasions for an individual? [Rowlands on Wittgenstein]
If a brilliant child invented a name for a private sensation, it couldn't communicate it [Wittgenstein]
We cannot doublecheck mental images for correctness (or confirm news with many copies of the paper) [Wittgenstein]
If we only named pain by our own case, it would be like naming beetles by looking in a private box [Wittgenstein]
If the reference is private, that is incompatible with the sense being public [Wittgenstein, by Scruton]
Getting from perceptions to words cannot be a private matter; the rules need an institution of use [Wittgenstein]
To imagine a language means to imagine a form of life [Wittgenstein]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
Common human behaviour enables us to interpret an unknown language [Wittgenstein]
To communicate, language needs agreement in judgment as well as definition [Wittgenstein]
20. Action / A. Definition of Action / 3. Actions and Events
What is left over if I subtract my arm going up from my raising my arm? [Wittgenstein]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Early sophists thought convention improved nature; later they said nature was diminished by it [Protagoras, by Miller,FD]
23. Ethics / B. Contract Ethics / 1. Contractarianism
For Protagoras the only bad behaviour is that which interferes with social harmony [Protagoras, by Roochnik]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Protagoras contradicts himself by saying virtue is teachable, but then that it is not knowledge [Plato on Protagoras]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Protagoras seems to have made the huge move of separating punishment from revenge [Protagoras, by Vlastos]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
Successful education must go deep into the soul [Protagoras]
25. Social Practice / E. Policies / 5. Education / b. Education principles
He spent public money on education, as it benefits the individual and the state [Protagoras, by Diodorus of Sicily]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]
28. God / C. Attitudes to God / 5. Atheism
He said he didn't know whether there are gods - but this is the same as atheism [Diogenes of Oen. on Protagoras]
29. Religion / D. Religious Issues / 1. Religious Commitment / b. Religious Meaning
Grammar tells what kind of object anything is - and theology is a kind of grammar [Wittgenstein]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
The human body is the best picture of the human soul [Wittgenstein]