Alessio Persichetti

This paper portrays the later Wittgenstein’s conception of contradictions and his therapeutic approach to them. I will focus on and give relevance to the Lectures on the Foundations of Mathematics, plus the Remarks on the Foundations of Mathematics. First, I will explain why Wittgenstein’s attitude towards contradictions is rooted in: a rejection of the debate about realism and anti-realism in mathematics; and Wittgenstein’s endorsement of logical pluralism. Then, I will explain Wittgenstein’s therapeutic approach towards contradictions, and why it means that a contradiction is not a problem for logic and mathematics. Rather, contradictions are problematic when we do not know what to infer from them. Once a meaning is established through a new rule of inference, the contradiction becomes a usable expression like many others in our inferential apparatus. Thus, the apparent problem is dissolved. Finally, I will take three examples of dissolved contradictions from Wittgenstein to clarify further his notion. I will conclude considering why his position on contradictions led him to clash with Alan Turing, and whether the latter was convinced by the Wittgensteinian proposal.

In this paper, I aim to explore what role persuasion plays in the early education of children. Advocating Wittgenstein, I claim that persuasion involves imparting to a pupil about a particular world-picture (Weltbild) by showing rather than explaining. This because we cannot introduce a child to the hinges of a world-picture through a discursive argument. I will employ the remarks of Wittgenstein in On Certainty (1969) (OC) to define what persuasion (Überredung) is. I will make use of the notes regarding seeing-an-aspect from the Philosophical Investigations (2009) to clarify such a notion. Afterwards, I will contextualise this in early-childhood education and conclude providing some examples of how persuasion solidifies hinges.

In this paper, I aim to explore what role persuasion plays in the early education of children. Advocating Wittgenstein, I claim that persuasion involves imparting to a pupil about a particular world-picture (Weltbild) by showing rather than explaining. This because we cannot introduce a child to the hinges of a world-picture through a discursive argument. I will employ the remarks of Wittgenstein in On Certainty (1969) (OC) to define what persuasion (Überredung) is. I will make use of the notes regarding seeing-an-aspect from the Philosophical Investigations (2009) to clarify such a notion. Afterwards, I will contextualise this in early-childhood education and conclude providing some examples of how persuasion solidifies hinges.