Combining Texts

Ideas for 'fragments/reports', 'Why Propositions cannot be concrete' and 'Philosophical Logic'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

5 ideas

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic

15404	Technical people see logic as any formal system that can be studied, not a study of argument validity [Burgess]
	Full Idea: Among the more technically oriented a 'logic' no longer means a theory about which forms of argument are valid, but rather means any formalism, regardless of its applications, that resembles original logic enough to be studied by similar methods.
	From: John P. Burgess (Philosophical Logic [2009], Pref)
	A reaction: There doesn't seem to be any great intellectual obligation to be 'technical'. As far as pure logic is concerned, I am very drawn to the computer approach, since I take that to be the original dream of Aristotle and Leibniz - impersonal precision.

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic

15405	Classical logic neglects the non-mathematical, such as temporality or modality [Burgess]
	Full Idea: There are topics of great philosophical interest that classical logic neglects because they are not important to mathematics. …These include distinctions of past, present and future, or of necessary, actual and possible.
	From: John P. Burgess (Philosophical Logic [2009], 1.1)

15427	The Cut Rule expresses the classical idea that entailment is transitive [Burgess]
	Full Idea: The Cut rule (from A|-B and B|-C, infer A|-C) directly expresses the classical doctrine that entailment is transitive.
	From: John P. Burgess (Philosophical Logic [2009], 5.3)

15421	Classical logic neglects counterfactuals, temporality and modality, because maths doesn't use them [Burgess]
	Full Idea: Classical logic neglects counterfactual conditionals for the same reason it neglects temporal and modal distinctions, namely, that they play no serious role in mathematics.
	From: John P. Burgess (Philosophical Logic [2009], 4.1)
	A reaction: Science obviously needs counterfactuals, and metaphysics needs modality. Maybe so-called 'classical' logic will be renamed 'basic mathematical logic'. Philosophy will become a lot clearer when that happens.

5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic

15403	Philosophical logic is a branch of logic, and is now centred in computer science [Burgess]
	Full Idea: Philosophical logic is a branch of logic, a technical subject. …Its centre of gravity today lies in theoretical computer science.
	From: John P. Burgess (Philosophical Logic [2009], Pref)
	A reaction: He firmly distinguishes it from 'philosophy of logic', but doesn't spell it out. I take it that philosophical logic concerns metaprinciples which compare logical systems, and suggest new lines of research. Philosophy of logic seems more like metaphysics.