Combining Philosophers

All the ideas for Augustin-Louis Cauchy, Leon Horsten and Daniel C. Dennett

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123 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is the most general intellectual discipline [Horsten]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
An overexamined life is as bad as an unexamined one [Dennett]
2. Reason / A. Nature of Reason / 9. Limits of Reason
Rationality requires the assumption that things are either for better or worse [Dennett]
2. Reason / D. Definition / 2. Aims of Definition
A definition should allow the defined term to be eliminated [Horsten]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
3. Truth / A. Truth Problems / 1. Truth
Semantic theories of truth seek models; axiomatic (syntactic) theories seek logical principles [Horsten]
Truth is a property, because the truth predicate has an extension [Horsten]
3. Truth / A. Truth Problems / 2. Defining Truth
Truth has no 'nature', but we should try to describe its behaviour in inferences [Horsten]
3. Truth / A. Truth Problems / 5. Truth Bearers
Propositions have sentence-like structures, so it matters little which bears the truth [Horsten]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
Modern correspondence is said to be with the facts, not with true propositions [Horsten]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
The correspondence 'theory' is too vague - about both 'correspondence' and 'facts' [Horsten]
3. Truth / D. Coherence Truth / 2. Coherence Truth Critique
The coherence theory allows multiple coherent wholes, which could contradict one another [Horsten]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
The pragmatic theory of truth is relative; useful for group A can be useless for group B [Horsten]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
Tarski's hierarchy lacks uniform truth, and depends on contingent factors [Horsten]
Tarski Bi-conditional: if you'll assert φ you'll assert φ-is-true - and also vice versa [Horsten]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
Semantic theories have a regress problem in describing truth in the languages for the models [Horsten]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Axiomatic approaches avoid limiting definitions to avoid the truth predicate, and limited sizes of models [Horsten]
'Reflexive' truth theories allow iterations (it is T that it is T that p) [Horsten]
Axiomatic approaches to truth avoid the regress problem of semantic theories [Horsten]
A good theory of truth must be compositional (as well as deriving biconditionals) [Horsten]
An axiomatic theory needs to be of maximal strength, while being natural and sound [Horsten]
The Naďve Theory takes the bi-conditionals as axioms, but it is inconsistent, and allows the Liar [Horsten]
Axiomatic theories take truth as primitive, and propose some laws of truth as axioms [Horsten]
By adding truth to Peano Arithmetic we increase its power, so truth has mathematical content! [Horsten]
3. Truth / G. Axiomatic Truth / 2. FS Truth Axioms
Friedman-Sheard theory keeps classical logic and aims for maximum strength [Horsten]
3. Truth / G. Axiomatic Truth / 3. KF Truth Axioms
Kripke-Feferman has truth gaps, instead of classical logic, and aims for maximum strength [Horsten]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Inferential deflationism says truth has no essence because no unrestricted logic governs the concept [Horsten]
Deflationism skips definitions and models, and offers just accounts of basic laws of truth [Horsten]
Deflationism concerns the nature and role of truth, but not its laws [Horsten]
This deflationary account says truth has a role in generality, and in inference [Horsten]
Deflationism says truth isn't a topic on its own - it just concerns what is true [Horsten]
Deflation: instead of asserting a sentence, we can treat it as an object with the truth-property [Horsten]
4. Formal Logic / E. Nonclassical Logics / 1. Nonclassical Logics
Nonclassical may accept T/F but deny applicability, or it may deny just T or F as well [Horsten]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Doubt is thrown on classical logic by the way it so easily produces the liar paradox [Horsten]
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
Deduction Theorem: ψ only derivable from φ iff φ→ψ are axioms [Horsten]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
A theory is 'non-conservative' if it facilitates new mathematical proofs [Horsten]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
It is easier to imagine truth-value gaps (for the Liar, say) than for truth-value gluts (both T and F) [Horsten]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
Satisfaction is a primitive notion, and very liable to semantical paradoxes [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
The first incompleteness theorem means that consistency does not entail soundness [Horsten]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
Strengthened Liar: 'this sentence is not true in any context' - in no context can this be evaluated [Horsten]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
ZFC showed that the concept of set is mathematical, not logical, because of its existence claims [Horsten]
Set theory is substantial over first-order arithmetic, because it enables new proofs [Horsten]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Predicativism says mathematical definitions must not include the thing being defined [Horsten]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
We may believe in atomic facts, but surely not complex disjunctive ones? [Horsten]
7. Existence / D. Theories of Reality / 10. Vagueness / f. Supervaluation for vagueness
If 'Italy is large' lacks truth, so must 'Italy is not large'; but classical logic says it's large or it isn't [Horsten]
In the supervaluationist account, disjunctions are not determined by their disjuncts [Horsten]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
We can bring dispositions into existence, as in creating an identifier [Dennett, by Mumford]
9. Objects / D. Essence of Objects / 13. Nominal Essence
Words are fixed by being attached to similarity clusters, without mention of 'essences' [Dennett]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
Philosophers regularly confuse failures of imagination with insights into necessity [Dennett]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
Why pronounce impossible what you cannot imagine? [Dennett]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Some claim that indicative conditionals are believed by people, even though they are not actually held true [Horsten]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Light wavelengths entering the eye are only indirectly related to object colours [Dennett]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
That every mammal has a mother is a secure reality, but without foundations [Dennett]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
Causal theories require the "right" sort of link (usually unspecified) [Dennett]
14. Science / C. Induction / 1. Induction
Brains are essentially anticipation machines [Dennett]
15. Nature of Minds / A. Nature of Mind / 1. Mind / e. Questions about mind
Minds are hard-wired, or trial-and-error, or experimental, or full self-aware [Dennett, by Heil]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
We can't draw a clear line between conscious and unconscious [Dennett]
Perhaps the brain doesn't 'fill in' gaps in consciousness if no one is looking. [Dennett]
Sentience comes in grades from robotic to super-human; we only draw a line for moral reasons [Dennett]
Does consciousness need the concept of consciousness? [Dennett]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
Maybe language is crucial to consciousness [Dennett]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Conscious events can only be explained in terms of unconscious events [Dennett]
15. Nature of Minds / B. Features of Minds / 3. Privacy
We can know a lot of what it is like to be a bat, and nothing important is unknown [Dennett]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Theories of intentionality presuppose rationality, so can't explain it [Dennett]
Unconscious intentionality is the foundation of the mind [Dennett]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
Dennett denies the existence of qualia [Dennett, by Lowe]
What is it like to notice an uncomfortable position when you are asleep? [Dennett]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
Obviously there can't be a functional anaylsis of qualia if they are defined by intrinsic properties [Dennett]
"Qualia" can be replaced by complex dispositional brain states [Dennett]
15. Nature of Minds / B. Features of Minds / 6. Inverted Qualia
We can't assume that dispositions will remain normal when qualia have been inverted [Dennett]
15. Nature of Minds / B. Features of Minds / 7. Blindsight
In peripheral vision we see objects without their details, so blindsight is not that special [Dennett]
Blindsight subjects glean very paltry information [Dennett]
16. Persons / A. Concept of a Person / 4. Persons as Agents
I am the sum total of what I directly control [Dennett]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
People accept blurred boundaries in many things, but insist self is All or Nothing [Dennett]
16. Persons / B. Nature of the Self / 6. Self as Higher Awareness
Being a person must involve having second-order beliefs and desires (about beliefs and desires) [Dennett]
16. Persons / B. Nature of the Self / 7. Self and Body / c. Self as brain controller
The psychological self is an abstraction, not a thing in the brain [Dennett]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
Selves are not soul-pearls, but artefacts of social processes [Dennett]
16. Persons / E. Rejecting the Self / 3. Narrative Self
We tell stories about ourselves, to protect, control and define who we are [Dennett]
We spin narratives about ourselves, and the audience posits a centre of gravity for them [Dennett]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
The brain is controlled by shifting coalitions, guided by good purposeful habits [Dennett]
The work done by the 'homunculus in the theatre' must be spread amongst non-conscious agencies [Dennett]
16. Persons / F. Free Will / 1. Nature of Free Will
You can be free even though force would have prevented you doing otherwise [Dennett, by PG]
Can we conceive of a being with a will freer than our own? [Dennett]
16. Persons / F. Free Will / 2. Sources of Free Will
Awareness of thought is a step beyond awareness of the world [Dennett]
Foreknowledge permits control [Dennett]
17. Mind and Body / A. Mind-Body Dualism / 6. Epiphenomenalism
If an epiphenomenon has no physical effects, it has to be undetectable [Dennett]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Dualism wallows in mystery, and to accept it is to give up [Dennett]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
Beliefs and desires aren't real; they are prediction techniques [Dennett]
The active self is a fiction created because we are ignorant of our motivations [Dennett]
If mind is just an explanation, the explainer must have beliefs [Rey on Dennett]
The 'intentional stance' is a way of interpreting an entity by assuming it is rational and self-aware [Dennett]
17. Mind and Body / C. Functionalism / 1. Functionalism
Could a robot be made conscious just by software? [Dennett]
17. Mind and Body / C. Functionalism / 6. Homuncular Functionalism
All functionalism is 'homuncular', of one grain size or another [Dennett]
We descend from robots, and our intentionality is composed of billions of crude intentional systems [Dennett]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
There is no more anger in adrenaline than silliness in a bottle of whiskey [Dennett]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
Intelligent agents are composed of nested homunculi, of decreasing intelligence, ending in machines [Dennett]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
It is arbitrary to say which moment of brain processing is conscious [Dennett]
Visual experience is composed of neural activity, which we find pleasing [Dennett]
Maybe there is a minimum brain speed for supporting a mind [Dennett]
I don't deny consciousness; it just isn't what people think it is [Dennett]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
The materials for a mind only matter because of speed, and a need for transducers and effectors [Dennett]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Like the 'centre of gravity', desires and beliefs are abstract concepts with no actual existence [Dennett]
You couldn't drive a car without folk psychology [Dennett]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
A language of thought doesn't explain content [Dennett]
The predecessor and rival of the language of thought hypothesis is the picture theory of ideas [Dennett]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
What matters about neuro-science is the discovery of the functional role of the chemistry [Dennett]
18. Thought / C. Content / 1. Content
States have content if we can predict them well by assuming intentionality [Dennett, by Schulte]
18. Thought / C. Content / 9. Conceptual Role Semantics
The nature of content is entirely based on its functional role [Dennett]
18. Thought / D. Concepts / 5. Concepts and Language / b. Concepts are linguistic
Concepts are things we (unlike dogs) can think about, because we have language [Dennett]
18. Thought / D. Concepts / 5. Concepts and Language / c. Concepts without language
Maybe there can be non-conscious concepts (e.g. in bees) [Dennett]
19. Language / C. Assigning Meanings / 1. Syntax
A theory of syntax can be based on Peano arithmetic, thanks to the translation by Gödel coding [Horsten]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learning is evolution in the brain [Dennett]
25. Social Practice / F. Life Issues / 3. Abortion
Most people see an abortion differently if the foetus lacks a brain [Dennett]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
Originally there were no reasons, purposes or functions; since there were no interests, there were only causes [Dennett]
27. Natural Reality / G. Biology / 1. Biology
Biology is a type of engineering, not a search for laws of nature [Dennett]
27. Natural Reality / G. Biology / 2. Life
Maybe plants are very slow (and sentient) animals, overlooked because we are faster? [Dennett]
27. Natural Reality / G. Biology / 3. Evolution
Darwin's idea was the best idea ever [Dennett]