Combining Texts

All the ideas for 'fragments/reports', 'Rationality and Logic' and 'Logical Pluralism'

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52 ideas

1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
Frege's logical approach dominates the analytical tradition [Hanna]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Scientism says most knowledge comes from the exact sciences [Hanna]
2. Reason / F. Fallacies / 1. Fallacy
'Affirming the consequent' fallacy: φ→ψ, ψ, so φ [Hanna]
'Denying the antecedent' fallacy: φ→ψ, ¬φ, so ¬ψ [Hanna]
We can list at least fourteen informal fallacies [Hanna]
2. Reason / F. Fallacies / 4. Circularity
Circular arguments are formally valid, though informally inadmissible [Hanna]
2. Reason / F. Fallacies / 5. Fallacy of Composition
Formally, composition and division fallacies occur in mereology [Hanna]
3. Truth / A. Truth Problems / 1. Truth
Some truths have true negations [Beall/Restall]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
A truthmaker is an object which entails a sentence [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
(∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
Excluded middle must be true for some situation, not for all situations [Beall/Restall]
Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall]
Relevant logic does not abandon classical logic [Beall/Restall]
A doesn't imply A - that would be circular [Beall/Restall]
Relevant logic may reject transitivity [Beall/Restall]
It's 'relevantly' valid if all those situations make it true [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logic terms aren't existential; classical is non-empty, with referring names [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall]
Syllogisms are only logic when they use variables, and not concrete terms [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall]
Logic is explanatorily and ontologically dependent on rational animals [Hanna]
Logic is personal and variable, but it has a universal core [Hanna]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
The model theory of classical predicate logic is mathematics [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Intensional consequence is based on the content of the concepts [Hanna]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
There are several different consequence relations [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
A sentence follows from others if they always model it [Beall/Restall]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / d. The Preface paradox
Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism struggles because there is no decent theory of analyticity [Hanna]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Supervenience can add covariation, upward dependence, and nomological connection [Hanna]
10. Modality / A. Necessity / 2. Nature of Necessity
A sentence is necessary if it is true in a set of worlds, and nonfalse in the other worlds [Hanna]
10. Modality / A. Necessity / 3. Types of Necessity
Relevant necessity is always true for some situation (not all situations) [Beall/Restall]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity can be 'weak' (same as logical) and 'strong' (based on essences) [Hanna]
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity is truth in all logically possible worlds, because of laws and concepts [Hanna]
10. Modality / A. Necessity / 7. Natural Necessity
Nomological necessity is truth in all logically possible worlds with our laws [Hanna]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Intuition includes apriority, clarity, modality, authority, fallibility and no inferences [Hanna]
Intuition is more like memory, imagination or understanding, than like perception [Hanna]
Intuition is only outside the 'space of reasons' if all reasons are inferential [Hanna]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Explanatory reduction is stronger than ontological reduction [Hanna]
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
Imagination grasps abstracta, generates images, and has its own correctness conditions [Hanna]
18. Thought / A. Modes of Thought / 1. Thought
Should we take the 'depictivist' or the 'descriptivist/propositionalist' view of mental imagery? [Hanna]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Kantian principled rationality is recognition of a priori universal truths [Hanna]
Humean Instrumental rationality is the capacity to seek contingent truths [Hanna]
Rational animals have a normative concept of necessity [Hanna]
Hegelian holistic rationality is the capacity to seek coherence [Hanna]
One tradition says talking is the essence of rationality; the other says the essence is logic [Hanna]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgement is always predicating a property of a subject [Beall/Restall]
18. Thought / B. Mechanics of Thought / 1. Psychology
Most psychologists are now cognitivists [Hanna]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
We can rest truth-conditions on situations, rather than on possible worlds [Beall/Restall]
19. Language / D. Propositions / 1. Propositions
Propositions commit to content, and not to any way of spelling it out [Beall/Restall]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]