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Research Article

The most important thing: Wittgenstein, engineering, and the foundations of mathematics

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Received 23 Aug 2023, Accepted 19 Jun 2024, Published online: 29 Jul 2024

Figures & data

Figure 1. Local concentrations in a lattice model where each particle has four next neighbours (left, right, up, down) for a binary mixture of components 1 and 2. Left: the central particle is of component 1, the local concentrations are x21 = 3/4, i.e. three neighbours of type 2 among 4 neighbours overall, and x11 = 1/4. Right: the central particle is of component 2, the local concentrations are x12 = 2/4 and x22 = 2/4. The overall concentrations are x1 = 5/9 and x2 = 4/9 in the respective cases.

Figure 1. Local concentrations in a lattice model where each particle has four next neighbours (left, right, up, down) for a binary mixture of components 1 and 2. Left: the central particle is of component 1, the local concentrations are x21 = 3/4, i.e. three neighbours of type 2 among 4 neighbours overall, and x11 = 1/4. Right: the central particle is of component 2, the local concentrations are x12 = 2/4 and x22 = 2/4. The overall concentrations are x1 = 5/9 and x2 = 4/9 in the respective cases.