Combining Texts

All the ideas for 'works', 'The Architecture of Mathematics' and 'Freedom and Action'

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

10190	From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]
	Full Idea: From the axiomatic point of view, mathematics appears as a storehouse of abstract forms - the mathematical structures.
	From: Nicholas Bourbaki (The Architecture of Mathematics [1950], 221-32), quoted by Fraser MacBride - Review of Chihara's 'Structural Acc of Maths' p.79
	A reaction: This seems to be the culmination of the structuralist view that developed from Dedekind and Hilbert, and was further developed by philosophers in the 1990s.

20. Action / A. Definition of Action / 1. Action Theory

20062	If a desire leads to a satisfactory result by an odd route, the causal theory looks wrong [Chisholm]
	Full Idea: If someone wants to kill his uncle to inherit a fortune, and having this desire makes him so agitated that he loses control of his car and kills a pedestrian, who turns out to be his uncle, the conditions of the causal theory seem to be satisfied.
	From: Roderick Chisholm (Freedom and Action [1966]), quoted by Rowland Stout - Action 6 'Deviant'
	A reaction: This line of argument has undermined all sorts of causal theories that were fashionable in the 1960s and 70s. Explanation should lead to understanding, but a deviant causal chain doesn't explain the outcome. The causal theory can be tightened.

20. Action / B. Preliminaries of Action / 2. Willed Action / c. Agent causation

20054	There has to be a brain event which is not caused by another event, but by the agent [Chisholm]
	Full Idea: There must be some event A, presumably some cerebral event, which is not caused by any other event, but by the agent.
	From: Roderick Chisholm (Freedom and Action [1966], p.20), quoted by Rowland Stout - Action 4 'Agent'
	A reaction: I'm afraid this thought strikes me as quaintly ridiculous. What kind of metaphysics can allow causation outside the natural nexus, yet occuring within the physical brain? This is a relic of religious dualism. Let it go.

29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy

16713	Philosophers are the forefathers of heretics [Tertullian]
	Full Idea: Philosophers are the forefathers of heretics.
	From: Tertullian (works [c.200]), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.2

29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism

6610	I believe because it is absurd [Tertullian]
	Full Idea: I believe because it is absurd ('Credo quia absurdum est').
	From: Tertullian (works [c.200]), quoted by Robert Fogelin - Walking the Tightrope of Reason n4.2
	A reaction: This seems to be a rather desperate remark, in response to what must have been rather good hostile arguments. No one would abandon the support of reason if it was easy to acquire. You can't deny its engaging romantic defiance, though.