I. every deduction involves the observation of a diagram
"I have proven that every Deduction involves the observation of a Diagram (whether Optical, Tactical, or Acoustic) and having drawn the diagram (for I myself always work with Optical Diagrams) one finds the conclusion to be represented by it. Of course, a diagram is required to comprehend any assertion." C.S. Peirce in a 1909 letter to William James
"[E]xtensity, being an entirely peculiar kind of feeling indescribable except in terms of itself, and inseparable in actual experience from some sensational quality which it must accompany, can itself receive no other name than that of sensational element. It must now be noted that the vastness hitherto spoken of is as great in one direction as in another. Its dimensions are so vague that in it there is no question as yet of surface as opposed to depth; 'volume' being the best short name for the sensation in question." William James, from "The Principles of Psychology" (1890) CHAPTER XX THE PERCEPTION OF SPACE; Section 1: THE FEELING OF CRUDE EXTENSITY
II. the vastness hitherto spoken of is as great in one direction as in another
III. so it is rather the whole river that is place, because as a whole it is motionless.
"Just, in fact, as the vessel is transportable place, so place is a non-portable vessel. So when what is within a thing which is moved, is moved and changes its place, as a boat on a river, what contains plays the part of a vessel rather than that of place. Place on the other hand is rather what is motionless: so it is rather the whole river that is place, because as a whole it is motionless. Hence we conclude that the innermost motionless boundary of what contains is place."
Aristotle, The Physics Book IV, Chapter 4
"Pure Play has no rules, except this very law of liberty. It bloweth where it listeth. It has no purpose, unless recreation.... The dawn and the gloaming most invite one to Musement; but I have found no watch of the nychthemeron that has not its own advantages for the pursuit. It begins passively enough with drinking in the impression of some nook in one of the three Universes. But impression soon passes into attentive observation, observation into musing, musing into a lively give and take of communion between self and self. If one's observations and reflections are allowed to specialize themselves too much, the Play will be converted into scientific study; and that cannot be pursued in odd half hours."
C.S. Peirce, "A Neglected Argument for the Reality of God"