K. A. Bachman

  • Engineering Physics
  • Colorado School of Mines
    Golden, CO 80401
Home | Research

    Invitation from Kate Bachman on Vimeo.

    Axiom: One test is worth 1000 expert opinions. Unknown

    Two dangers constantly threaten the world: order and disorder. Paul Valery, French poet (1871-1945)

    Regarding the Imprecision of Ideas
    "Bishop George Berkeley (1685-1753), in his caustic essay The Analyst, or a Discourse addressed to an Infidel Mathematician, derided those mathematicians who were ever ready to criticize the theology as being based upon unsubstantiated faith, yet who embraced the calculus in spite of its foundational weaknesses. Berkeley could not resist letting them have it: 'All these points [of mathematics], I say, are supposed and believed by certain rigorous exactors of evidence in religion, men who pretend to believe no further than they can see...But he who can digest a second or third fluxion, a second or third differential, need not, methinks, be squeamish about any point in divinity.'
    As if that were not devastating enough, Berkeley added the wonderfully barbed comment:
    'And what are these fluxions? The velocities of evanescent increments. And what are these same evanescent increments? They are neither finite quantities, nor quantities infinitely small, nor yet nothing. May we not call them the ghosts of departed quantities...?'"
    From Journey through Genius by William Dunham.