Original sentence: From this reasoning, he then proposes the same axioms of reducibility as he proposed in his 1908.In his 1903 he proposed how one would go about evaluating such a 2-place function; indeed he compared the process to double integration: One after another, plug into x definite values an (i.In other words: For all ym evaluate f(a1, yn), then for all yn evaluate f(a2, yn), etc until all the am are exhausted).relation) TRUE, but by 1913 he has introduced a matrix-like concept between "function" In *12 of Principia Mathematica (1913) he defines "a matrix" as "any function, of however many variables, which does not involve any apparent variables.the particular aj is "a constant" or a parmeter held constant), then evaluate f(am,yn) across all the n instances of possible y
Edited sentence: From this reasoning, he then uses the same wording to propose the same axioms of reducibility as he did in his 1908.In *12 of Principia Mathematica (1913) he defines "a matrix" as "any function, of however many variables, which does not involve any apparent variables.In his 1903 he proposed how one would go about evaluating such a 2-place function; indeed he compared the process to double integration: One after another, plug into x definite values am (i.In other words: For all yn evaluate f(a1, yn), then for all yn evaluate f(a2, yn), etc until all the x = am are exhausted).relation) TRUE, but by 1913 he has introduced a matrix-like concept into "function".the particular aj is "a constant" or a parmeter held constant), then evaluate f(am,yn) across all the n instances of possible yj