„Mais il faut aussi, qu’outre le principe du changement il y ait un détail de ce qui change, qui fasse pour ainsi dire la spécification et la variété des substances simples.“ (No. 12) #Leibniz #SubstancesSimples
„C’est le véritable tragique de nos jours, le seul qui sache bien exciter la véritable passion de la tragédie : la terreur.“ (Chap. 3) #Montesquieu #terreur
„Of this our perceptual experiences are the nucleus, they being the originally strong experiences. We add a lot of conceptual experiences to them, making these strong also in imagination, and building out the remoter parts of the physical world by their means“. (p. 43) #James #PerceptualExperiences
„All consistent axiomatic formulations of number theory include undecidable propositions. […] If consistency is the minimal condition under which symbols acquire passive meanings, then its complementary notion, completeness, is the maximal confirmation of those passive meanings. Where consistency is the property that ‚Everything produced by the system is true‘, completeness is the other way round: ‚Every true statement is produced by the system‘. […] Gödel’s Incompleteness Theorem says that any system which is ’sufficiently powerful‘ is, by virtue of its power, incomplete, in the sense that there are well-formed strings which express true statements of number theory, but which are not theorems. (There are truths belonging to number theory which are not provable within the system.)“ (p. 17, 100f [pass.]) #Hofstadter #Gödel #Escher #Bach #IncompletenessTheorem #NumberTheory
„Denn Leben selbst bereits ist der Widerstreit gegen den kurzen Weg in die Entropie“ (p. 298) #Röttgers #Leben #Entropie