Combining Philosophers

All the ideas for Halbach,V/Leigh,G.E, Archimedes and J Pollock / J Cruz

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33 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
If we define truth, we can eliminate it [Halbach/Leigh]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
If a language cannot name all objects, then satisfaction must be used, instead of unary truth [Halbach/Leigh]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
Semantic theories need a powerful metalanguage, typically including set theory [Halbach/Leigh]
3. Truth / F. Semantic Truth / 2. Semantic Truth
The T-sentences are deductively weak, and also not deductively conservative [Halbach/Leigh]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
A natural theory of truth plays the role of reflection principles, establishing arithmetic's soundness [Halbach/Leigh]
If deflationary truth is not explanatory, truth axioms should be 'conservative', proving nothing new [Halbach/Leigh]
3. Truth / G. Axiomatic Truth / 2. FS Truth Axioms
The FS axioms use classical logical, but are not fully consistent [Halbach/Leigh]
3. Truth / G. Axiomatic Truth / 3. KF Truth Axioms
KF is formulated in classical logic, but describes non-classical truth, which allows truth-value gluts [Halbach/Leigh]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
8. Modes of Existence / B. Properties / 12. Denial of Properties
We can reduce properties to true formulas [Halbach/Leigh]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
Nominalists can reduce theories of properties or sets to harmless axiomatic truth theories [Halbach/Leigh]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
The main epistemological theories are foundationalist, coherence, probabilistic and reliabilist [Pollock/Cruz]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
Most people now agree that our reasoning proceeds defeasibly, rather than deductively [Pollock/Cruz]
To believe maximum truths, believe everything; to have infallible beliefs, believe nothing [Pollock/Cruz]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
Direct realism says justification is partly a function of pure perceptual states, not of beliefs [Pollock/Cruz]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Phenomenalism offered conclusive perceptual knowledge, but conclusive reasons no longer seem essential [Pollock/Cruz]
12. Knowledge Sources / B. Perception / 1. Perception
Perception causes beliefs in us, without inference or justification [Pollock/Cruz]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Sense evidence is not beliefs, because they are about objective properties, not about appearances [Pollock/Cruz]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
Bayesian epistemology is Bayes' Theorem plus the 'simple rule' (believe P if it is probable) [Pollock/Cruz]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Internalism says if anything external varies, the justifiability of the belief does not vary [Pollock/Cruz]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
People rarely have any basic beliefs, and never enough for good foundations [Pollock/Cruz]
Foundationalism requires self-justification, not incorrigibility [Pollock/Cruz]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
Reason cannot be an ultimate foundation, because rational justification requires prior beliefs [Pollock/Cruz]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
Foundationalism is wrong, because either all beliefs are prima facie justified, or none are [Pollock/Cruz]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Negative coherence theories do not require reasons, so have no regress problem [Pollock/Cruz]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Coherence theories fail, because they can't accommodate perception as the basis of knowledge [Pollock/Cruz]
Coherence theories isolate justification from the world [Pollock/Cruz]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Externalism comes as 'probabilism' (probability of truth) and 'reliabilism' (probability of good cognitive process) [Pollock/Cruz]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
One belief may cause another, without being the basis for the second belief [Pollock/Cruz]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
We can't start our beliefs from scratch, because we wouldn't know where to start [Pollock/Cruz]
14. Science / C. Induction / 1. Induction
Enumerative induction gives a universal judgement, while statistical induction gives a proportion [Pollock/Cruz]
14. Science / C. Induction / 6. Bayes's Theorem
Since every tautology has a probability of 1, should we believe all tautologies? [Pollock/Cruz]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
Scientific confirmation is best viewed as inference to the best explanation [Pollock/Cruz]