Combining Philosophers

All the ideas for Anaxarchus, G Edelman / G Tononi and John P. Burgess

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56 ideas

4. Formal Logic / D. Modal Logic ML / 6. Temporal Logic
With four tense operators, all complex tenses reduce to fourteen basic cases [Burgess]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The temporal Barcan formulas fix what exists, which seems absurd [Burgess]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Is classical logic a part of intuitionist logic, or vice versa? [Burgess]
It is still unsettled whether standard intuitionist logic is complete [Burgess]
4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
Relevance logic's → is perhaps expressible by 'if A, then B, for that reason' [Burgess]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Technical people see logic as any formal system that can be studied, not a study of argument validity [Burgess]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Classical logic neglects the non-mathematical, such as temporality or modality [Burgess]
The Cut Rule expresses the classical idea that entailment is transitive [Burgess]
Classical logic neglects counterfactuals, temporality and modality, because maths doesn't use them [Burgess]
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
Philosophical logic is a branch of logic, and is now centred in computer science [Burgess]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Formalising arguments favours lots of connectives; proving things favours having very few [Burgess]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / e. or
Asserting a disjunction from one disjunct seems odd, but can be sensible, and needed in maths [Burgess]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
All occurrences of variables in atomic formulas are free [Burgess]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
The denotation of a definite description is flexible, rather than rigid [Burgess]
5. Theory of Logic / H. Proof Systems / 1. Proof Systems
'Induction' and 'recursion' on complexity prove by connecting a formula to its atomic components [Burgess]
5. Theory of Logic / H. Proof Systems / 6. Sequent Calculi
The sequent calculus makes it possible to have proof without transitivity of entailment [Burgess]
We can build one expanding sequence, instead of a chain of deductions [Burgess]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
'Tautologies' are valid formulas of classical sentential logic - or substitution instances in other logics [Burgess]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
Validity (for truth) and demonstrability (for proof) have correlates in satisfiability and consistency [Burgess]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models leave out meaning, and just focus on truth values [Burgess]
We only need to study mathematical models, since all other models are isomorphic to these [Burgess]
We aim to get the technical notion of truth in all models matching intuitive truth in all instances [Burgess]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
The Liar seems like a truth-value 'gap', but dialethists see it as a 'glut' [Burgess]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
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]
10. Modality / A. Necessity / 4. De re / De dicto modality
De re modality seems to apply to objects a concept intended for sentences [Burgess]
10. Modality / A. Necessity / 6. Logical Necessity
General consensus is S5 for logical modality of validity, and S4 for proof [Burgess]
Logical necessity has two sides - validity and demonstrability - which coincide in classical logic [Burgess]
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
Three conditionals theories: Materialism (material conditional), Idealism (true=assertable), Nihilism (no truth) [Burgess]
It is doubtful whether the negation of a conditional has any clear meaning [Burgess]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
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]
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]