Combining Texts

All the ideas for 'Elements of Mathematical Logic', 'Freedom and Action' and 'Change in View: Principles of Reasoning'

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13 ideas

2. Reason / A. Nature of Reason / 1. On Reason
The rules of reasoning are not the rules of logic [Harman]
It is a principle of reasoning not to clutter your mind with trivialities [Harman]
If there is a great cost to avoiding inconsistency, we learn to reason our way around it [Harman]
Logic has little relevance to reasoning, except when logical conclusions are immediate [Harman]
2. Reason / A. Nature of Reason / 4. Aims of Reason
Implication just accumulates conclusions, but inference may also revise our views [Harman]
4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Lukasiewicz's L3 logic has three truth-values, T, F and I (for 'indeterminate') [Lukasiewicz, by Fisher]
10. Modality / B. Possibility / 6. Probability
The Gambler's Fallacy (ten blacks, so red is due) overemphasises the early part of a sequence [Harman]
High probability premises need not imply high probability conclusions [Harman]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
We strongly desire to believe what is true, even though logic does not require it [Harman]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
In revision of belief, we need to keep track of justifications for foundations, but not for coherence [Harman]
Coherence is intelligible connections, especially one element explaining another [Harman]
20. Action / A. Definition of Action / 1. Action Theory
If a desire leads to a satisfactory result by an odd route, the causal theory looks wrong [Chisholm]
20. Action / B. Preliminaries of Action / 2. Willed Action / c. Agent causation
There has to be a brain event which is not caused by another event, but by the agent [Chisholm]