Conjecture, proof, and sense in Wittgenstein's philosophy of mathematics

One of the key tenets in Wittgenstein’s philosophy of mathematics is that a mathematical proposition gets its meaning from its proof. This seems to have the paradoxical consequence that a mathematical conjecture has no meaning, or at least not the same meaning that it will have once a proof has been found. Hence, it would appear that a conjecture can never be proven true: for what is proven true must ipso facto be a different proposition from what was only conjectured. Moreover, it would appear impossible that the same mathematical proposition be proven in different ways. — I will consider some of Wittgenstein’s remarks on these issues, and attempt to reconstruct his position in a way that makes it appear less paradoxical.

Fascist voices: an intimate history of Mussolini's Italy

This is a history of fascist Italy from 1919 to 1945 that explores through the private (and mostly unpublished) diaries, letters and memoirs of ordinary people, how the regime was lived and experienced. It sets out to examine the emotional, cultural and ideological landscape of fascism and to investigate what it was that induced so many millions of people to give their support, in varying degrees, to a regime that led the country ultimately to disaster.