Tag Archives: Logical Graphs

Peirce’s 1870 “Logic of Relatives” • Comment 11.22 Let’s look at that last example from a different angle. NOF 4.3 So if men are just as apt to be black as things in general, where the difference between and must … Continue reading →

Peirce’s 1870 “Logic of Relatives” • Comment 11.21 One more example and one more general observation and we’ll be caught up with our homework on Peirce’s “number of” function. NOF 4.3 So if men are just as apt to be … Continue reading →

Peirce’s 1870 “Logic of Relatives” • Comment 11.20 We come to the last of Peirce’s statements about the “number of” function, first quoted in Selection 11 and again with the whole set in Comment 11.2. NOF 4.1 The conception of multiplication we … Continue reading →

Peirce’s 1870 “Logic of Relatives” • Comment 11.19 Up to this point in the 1870 Logic of Relatives, Peirce has introduced the “number of” function on logical terms, such that and discussed the extent to which its use as a … Continue reading →

Peirce’s 1870 “Logic of Relatives” • Comment 11.18 An order-preserving map is a special case of a structure-preserving map and the idea of preserving structure, as used in mathematics, means preserving some but not necessarily all the structure of the … Continue reading →

Peirce’s 1870 “Logic of Relatives” • Comment 11.17 I think the reader is beginning to get an inkling of the crucial importance of the “number of” function in Peirce’s way of looking at logic.  It is one plank in the … Continue reading →

Peirce’s 1870 “Logic of Relatives” • Comment 11.16 We now have enough material on morphisms to go back and cast a more studied eye on what Peirce is doing with that “number of” function, whose application to a logical term is … Continue reading →

Peirce’s 1870 “Logic of Relatives” • Comment 11.15 I’m going to elaborate a little further on the subject of arrows, morphisms, or structure-preserving mappings, as a modest amount of extra work at this point will repay ample dividends when it … Continue reading →

Peirce’s 1870 “Logic of Relatives” • Comment 11.14 Let’s now look at a concrete example of a morphism say, one of the mappings of reals into reals commonly known as logarithm functions, where you get to pick your favorite base. … Continue reading →

Peirce’s 1870 “Logic of Relatives” • Comment 11.13 As we make our way toward the foothills of Peirce’s 1870 Logic of Relatives there are several pieces of equipment we must not leave the plains without, namely, the utilities variously known … Continue reading →