The main thesis of this essay is that causal determinism is a property of nature and the main principle of natural intelligibility. It can be expressed in Lucretius' words: Nothing comes out of nothing or passes into nothing. Everything is the effect of a web of causes and is, in its turn, cause of something else. It follows that the essence of an intelligibility-oriented scientific theory ---which is different from science in a positivist or pragmatist sense--- is the search for causal determinism. The development of this thesis is guided by René Thom's thought. This means that causal determinism is analysed, first, in its relation to stability and instability; second, in its relation to the prima facie indeterminism of quantum mechanics; third, in its relation to the aporetic roots of science such as the duality determinism ---indeterminism, and, finally, in its relation to the method which allows science to follow the causal determinist ideal: the reduction of the possible--- a strategy which is, in this field, one of Thom's most original ideas. Keywords: causal determinism, natural intelligibility, scientific explanation, René Thom, science and realist metaphysics.
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