A very interesting conversation between Quentin Meillassoux, Robin McKay and Florian Hecker is available in pdf on the Urbanomic website (where, among other things, an interesting-looking forthcoming book on the philosophy of mathematics is announced).
There is a lot of interesting material in it: many topics will sound familiar to those well acquainted with Meillassoux’s work, but the conversation format leads the discussion also towards some unexpected terrain. I really just read it very quickly, and I’ll have to come back to it, but there is a section (indeed, the concluding section) which rather pleased me. Here is a selection from it:
When all your signs are meaningful, you are in deconstruction. Now why can’t Derrida’s deconstruction say anything about mathematics, why can’t it deconstruct mathematics? Because Derrida needs a sort of meaningful repetition, a sign that is meaningful that, if you repeat it, you have differential effects, by the repetition itself.
But if you take mathematics, you have signs without meaning, and you just operate on these signs. So if there are signs without any meaning, all deconstruction, all hermeneutics, goes out the window. Because there is a hole of meaning – no meaning at all. If these signs have no meaning at all, they just iterate, and this iteration can create the possibility of what I call a reiteration: one sign, two signs, three, four, etc.
So mathematics for me are the continent of what deconstruction cannot deconstruct, because it is grounded on meaninglessness. It is grounded on a sign without meaning. Now how can a sign without meaning can be infinite, can be it be general, generally the same? Here, there is something that is eternal but not ideal. Idealism thinks that it’s always meaning or essence that is eternal. For me what is eternal is just that any sign is a fact. When you see the facticity before the reality of a fact, then you don’t look at this teapot as an object that is factual, but you look at it as being the support of its facticity; and the support of its facticity as facticity is the same for the teapot as for this cup or this table … So you can iterate infinitely, that’s why you can iterate it.
In fact, for me, the facticity, the object as a support quelconque of facticity, you can iterate it, without any meaning. And that’s why you can operate with it, you can create a world without deconstruction and hermeneutics. And this is grounded on pure facticity of things, and also of thinking. It is not correlated. After that, you can take some pieces of what you can construct from iteration to construct mathematics, and abstractly apply that to some pieces of world, indifferent to thinking, that’s what I try to demonstrate.
via Hyper tiling
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