I am always a different man; a reinterpretation of the man I was yesterday, and the day before, and all the days I have lived. The past is gone, was always gone; it does not exist, except in memory, and what is memory but thought, a copy of perception, no less but no more replete with truth than any passing whim, fancy, or other agitation of the mind. And if it is actions, words, thoughts that define an individual, those definitions alter like the weather - if continuity and pattern are often discernible, so are chaos and sudden change.

K.J. Bishop

Tag: truth words perception change definitions memory actions today chaos thoughts the-past yesterday fancy continuity pattern gwynn reinterpretation whim

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It is well known that geometry presupposes not only the concept of space but also the first fundamental notions for constructions in space as given in advance. It only gives nominal definitions for them, while the essential means of determining them appear in the form of axioms. The relationship of these presumptions is left in the dark; one sees neither whether and in how far their connection is necessary, nor a priori whether it is possible. From Euclid to Legendre, to name the most renowned of modern writers on geometry, this darkness has been lifted neither by the mathematicians nor the philosophers who have laboured upon it.

Bernhard Riemann

Tag: science relationships darkness definitions philosophers space mathematics geometry euclid axioms scientist mathematician adrian-marie-legendre legendre renown

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