Wittgenstein on Mathematical Progress

Wittgenstein on Believing

The outlines of Wittgenstein’s conception of propositions can be sketched by means of the following four or five points. First, in 1913 Wittgenstein focuses on whatever it is that judgments have in common that allows them to depict a sense and express a thought. In so doing Wittgenstein is pressing to find a sense or proposition – what is believed in -of concern to logic and independent of psyc...

Wittgenstein as Davidson on Metaphor.PDF

Wittgenstein as Davidson on Metaphor In Wittgensten und die Metaphor, eds. Arnswald, Kertscher, and Kross, Parerga Verlag, Berlin, 2004, as “Wittgenstein mit Davidson uber Metaphor,” (German translation) pp. 195-220. This essay has five parts: First, I explain some fundamental agreements between Davidson and Wittgenstein. I argue that Donald Davidson’s views and Wittgenstein’s views in the Inve...

Wittgenstein on Knowledge (1949-1951)

In this paper, I want to characterize Wittgenstein’s epistemology, namely his contextualism, presented in his notes published under the title On Certainty. This characterization will be made in terms of a comparison with four control points in order to put into light the peculiarities of Wittgenstein’s epistemological position. The markers I will use for that purpose will give an indication of ...

On Progress in the Automation of Mathematical

Mathematical Progress in America.

In the remarks that follow, I shall limit myself to a brief consideration of progress in pure mathematics. This I may do the more appropriately, inasmuch as one of my predecessors, Professor R. S. Woodward, at the annual meeting of 1899, gave an account of the advances made in applied mathematics during the nineteenth century. In his address, which was published in the Bulletin for January, 190...