I’m almost tempted to say that for a priori truths, the map is the territory. I hesitate because I’m not confident I am using the metaphor correctly.
This definitely seems to be a slip up in application of the metaphor. The map is my beliefs, the territory is truth. I know from experience that I can believe something to be a mathematical truth, only to thereafter find a mistake in my proof—I don’t expect “the statement was true for as long as your map represented it” is actually your position.
This definitely seems to be a slip up in application of the metaphor. The map is my beliefs, the territory is truth. I know from experience that I can believe something to be a mathematical truth, only to thereafter find a mistake in my proof—I don’t expect “the statement was true for as long as your map represented it” is actually your position.