Understanding is the intrinsic illuminescence of ideas born in the mind, from the mind, by the mind. The perceptible has no meaning apart from the ideas of the mind; the perceptible is only intelligible in the forms donated by the mind. I maintain that Socrates, Plato, and Kant are at one aboout this.
Both Plato and Kant say that "5 and 7 are 12" is not an analytical statement: 12 is a form created by the mind, not something found in the 5, the 7, or the combination of the 5 and the 7.
For a schoolboy doing an arithmetic test "5 + 7 = 12" is a correct answer, is the correct answer. But 5 sheep and 7 pigs are what? They are only 12 in an indeterminate sense: 12 animals, but what is an animal? Where do you find an animal that is nothing but an animal, except in the mind? A step further: 5 children with 7 books among them are 12 what? 12 entities perhaps, but what is an entity? A fiction, a useful fiction created by the mind. Further still: a committee of 7 women and men, discussing how best to provide wate for an isolated village, have before them 5 alternative proposals: 7 committee members and 5 proposals are 12? A stand-up comedian might say that here we have 12 and we would have a hearty laugh. Whitehead, to my knowledge, is the only post-Kantian philosopher who saw this.
When Brahma-Cronos-Ra first sensed Its being, Its first utterance was: eimi. Thus It created Its existence.
Cairo, 2 June 2013.