Combining Philosophers

All the ideas for Hermarchus, Laurence Bonjour and Kenneth Kunen

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54 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy is a priori if it is anything [Bonjour]
2. Reason / A. Nature of Reason / 3. Pure Reason
Perceiving necessary connections is the essence of reasoning [Bonjour]
2. Reason / A. Nature of Reason / 6. Coherence
Coherence can't be validated by appeal to coherence [Bonjour]
For any given area, there seem to be a huge number of possible coherent systems of beliefs [Bonjour]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III
Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
Constructibility: V = L (all sets are constructible) [Kunen]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / e. The Lottery paradox
The Lottery Paradox says each ticket is likely to lose, so there probably won't be a winner [Bonjour, by PG]
8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation
An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen]
10. Modality / B. Possibility / 1. Possibility
The concept of possibility is prior to that of necessity [Bonjour]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
The concept of knowledge is so confused that it is best avoided [Bonjour]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
It is hard to give the concept of 'self-evident' a clear and defensible characterization [Bonjour]
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
The adverbial account will still be needed when a mind apprehends its sense-data [Bonjour]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Our rules of thought can only be judged by pure rational insight [Bonjour]
Moderate rationalists believe in fallible a priori justification [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Externalist theories of knowledge are one species of foundationalism [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
The big problem for foundationalism is to explain how basic beliefs are possible [Bonjour]
Conscious states have built-in awareness of content, so we know if a conceptual description of it is correct [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
A priori justification requires understanding but no experience [Bonjour]
A priori justification can vary in degree [Bonjour]
You can't explain away a priori justification as analyticity, and you can't totally give it up [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations
The main argument for foundationalism is that all other theories involve a regress leading to scepticism [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
The induction problem blocks any attempted proof of physical statements [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
A coherence theory of justification can combine with a correspondence theory of truth [Bonjour]
There will always be a vast number of equally coherent but rival systems [Bonjour]
Empirical coherence must attribute reliability to spontaneous experience [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
The best explanation of coherent observations is they are caused by and correspond to reality [Bonjour]
A well written novel cannot possibly match a real belief system for coherence [Bonjour]
The objection that a negated system is equally coherent assume that coherence is consistency [Bonjour]
A coherent system can be justified with initial beliefs lacking all credibility [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
My incoherent beliefs about art should not undermine my very coherent beliefs about physics [Bonjour]
Coherence seems to justify empirical beliefs about externals when there is no external input [Bonjour]
Coherentists must give a reason why coherent justification is likely to lead to the truth [Bonjour]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Extreme externalism says no more justification is required than the truth of the belief [Bonjour]
Externalist theories of justification don't require believers to have reasons for their beliefs [Bonjour]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
Reliabilists disagree over whether some further requirement is needed to produce knowledge [Bonjour]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
External reliability is not enough, if the internal state of the believer is known to be irrational [Bonjour]
If the reliable facts producing a belief are unknown to me, my belief is not rational or responsible [Bonjour]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
Even if there is no obvious irrationality, it may be irrational to base knowledge entirely on external criteria [Bonjour]
Externalism means we have no reason to believe, which is strong scepticism [Bonjour]
14. Science / A. Basis of Science / 5. Anomalies
Anomalies challenge the claim that the basic explanations are actually basic [Bonjour]
14. Science / C. Induction / 2. Aims of Induction
Induction must go beyond the evidence, in order to explain why the evidence occurred [Bonjour]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
If neither the first-level nor the second-level is itself conscious, there seems to be no consciousness present [Bonjour]
18. Thought / C. Content / 1. Content
All thought represents either properties or indexicals [Bonjour]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Indeterminacy of translation is actually indeterminacy of meaning and belief [Bonjour]
25. Social Practice / F. Life Issues / 6. Animal Rights
Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley]