TAOISM AND BIOLOGICAL SCIENCE

Abstract. The seemingly disparate systems of philosophical Taoism and modern biological science are compared. A surprising degree of similarity is found in their views on death, reversion (cyclicity of phenomena), complementary interactions of dichotomous systems, and the place of humans in the universe. The thesis is advanced that these similarities arise quite naturally, since both systems base their knowledge upon objective observation of natural phenomena. Substantial differences between the two systems are recognized and examined regarding verbal argument, machinery, and experimentation. The Taoists' relationship to Chinese alchemy and the biologists' to technology are claimed to mitigate their attitudes toward experimentation.     

WITTGENSTEIN AND DEFINING CRITERIA

Let us introduce two antithetical terms in order to avoid certain elementary confusions: To the question “How do you know that so-and-so is the case?”, we sometimes answer by giving ‘criteria’ and sometimes by giving ‘symptoms. If medical science calls angina an inflammation caused by a particular bacillus, and we ask in a particular case “Why do you say this man has got angina?” then the answer “I have found the bacillus so-and-so in his blood” gives us the criterion, or what we may call the defining criterion of angina. If on the other hand the answer was, “His throat is inflamed”, this might give us a symptom of angina, I call “sympton” a phenomenon of which experience has taught us that it coincided, in some way or other, with the phenomenon which is our defining criterion, Then to say “A man has angina if this bacillus is found in him” is a tautology or it is a loose way of stating the definition of “angina”. But to say, “A man has angina whenever he has an inflamed throat” is to make a hypothesis. (BB, pp. 24–25)¹     

WITTGENSTEIN AND STRONG MATHEMATICAL VERIFICATIONISM

Wittgenstein is accused by Dummett of radical conventionalism, the view that the necessity of any statement is a matter of express linguistic convention, i.e., a decision. This conventionalism is alleged to follow, in Wittgenstein's middle period, from his 'concept modification thesis', that a proof significantly changes the sense of the proposition it aims to prove. I argue for the assimilation of this thesis to Wittgenstein's 'no-conjecture thesis' concerning mathematical statements. Both flow from a strong verificationist view of mathematics held by Wittgenstein in his middle period, and this also explains his views on the law of excluded middle and consistency. Strong verificationism is central to making sense of Wittgenstein's middle-period philosophy of mathematics.