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Brouwer’s Cambridge Lectures on Intuitionism (1981)

The First Act of Intuitionism. The complete separation of mathematics from mathematical language, and hence from the linguistic phenomena which are described by theoretical logic, the recognition that intuitionistic mathematics is an essentially languageless activity of the mind which springs from the perception of a motion of time. This perception of time can be described as the splitting of a life moment into two distinct things, one of which gives place to the other, but is preserved in memory. If the dyad thus born is stripped of every quality, what remains is the blank form of the common substratum of all dyads. And it is this common substratum, this common form, which is the basic intuition of mathematics.

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Brouwer’s Cambridge Lectures on Intuitionism (1981)

The First Act of Intuitionism. The complete separation of mathematics from mathematical language, and hence from the linguistic phenomena which are described by theoretical logic, the recognition that intuitionistic mathematics is an essentially languageless activity of the mind which springs from the perception of a motion of time. This perception of time can be described as the splitting of a life moment into two distinct things, one of which gives place to the other, but is preserved in memory. If the dyad thus born is stripped of every quality, what remains is the blank form of the common substratum of all dyads. And it is this common substratum, this common form, which is the basic intuition of mathematics.

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