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All the ideas for 'Frege philosophy of mathematics', 'works' and 'Consciousness: matter becomes imagination'

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50 ideas

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]
8. Modes of Existence / D. Universals / 5. Universals as Concepts
Prior to language, concepts are universals created by self-mapping of brain activity [Edelman/Tononi]
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]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
Cultures have a common core of colour naming, based on three axes of colour pairs [Edelman/Tononi]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
A conscious human being rapidly reunifies its mind after any damage to the brain [Edelman/Tononi]
15. Nature of Minds / A. Nature of Mind / 8. Brain
A conscious state endures for about 100 milliseconds, known as the 'specious present' [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Consciousness is a process (of neural interactions), not a location, thing, property, connectivity, or activity [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
The three essentials of conscious experience are privateness, unity and informativeness [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
Consciousness can create new axioms, but computers can't do that [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Consciousness arises from high speed interactions between clusters of neurons [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
Dreams and imagery show the brain can generate awareness and meaning without input [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Physicists see information as a measure of order, but for biologists it is symbolic exchange between animals [Edelman/Tononi]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
The sensation of red is a point in neural space created by dimensions of neuronal activity [Edelman/Tononi]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
The self is founded on bodily awareness centred in the brain stem [Edelman/Tononi]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
A sense of self begins either internally, or externally through language and society [Edelman/Tononi]
16. Persons / F. Free Will / 5. Against Free Will
Brains can initiate free actions before the person is aware of their own decision [Edelman/Tononi]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Consciousness is a process, not a thing, as it maintains unity as its composition changes [Edelman/Tononi]
18. Thought / B. Mechanics of Thought / 3. Modularity of Mind
Brain complexity balances segregation and integration, like a good team of specialists [Edelman/Tononi]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Information-processing views of the brain assume the existence of 'information', and dubious brain codes [Edelman/Tononi]
18. Thought / C. Content / 6. Broad Content
Consciousness involves interaction with persons and the world, as well as brain functions [Edelman/Tononi]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
Concepts and generalisations result from brain 'global mapping' by 'reentry' [Edelman/Tononi, by Searle]
Concepts arise when the brain maps its own activities [Edelman/Tononi]
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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / a. Preconditions for ethics
Levinas took 'first philosophy' to begin with seeing the vulnerable faces of others [Levinas, by Aho]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Systems that generate a sense of value are basic to the primitive brain [Edelman/Tononi]
24. Political Theory / D. Ideologies / 9. Communism
Levinas says Marxism is the replacement of individualist ethics, by solidarity and sociality [Levinas, by Critchley]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]