QuoteRef: galiG_1632

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references g-h
problems with empirical truth
scientific method
Newtonian physics
scientific paradigms and research programs
orthogonal extension and cartesian products
what is truth
private language argument for skepticism about meaning
empirical truth
special relativity
skepticism about knowledge
analytic truth
philosophy of mathematics
problems with analytic truth
philosophy of science
science as measurement
science as experiment
history of science
science as mathematics
law of nature
physics as computation
infinity and infinitesimal


Galilei, G., Dialogo Di Galileo Galilei Linceo, Massimi Sistemi Del Mondo Tolemaico, e Copernicano, Florenza, Italy, Geio:Batifta Landini, 1632. Google

Other Reference

Dialogue Concerning the Two Chief World Systems, translated by S. Drake, Berkeley California: University of California Press, 1967 with forward by A. Einstein

xvii ;;Quote: there is no empirical method without speculative concepts and no speculative thinking that does not stem from empirical material
5 ;;Quote: despite the edict against the opinion that the earth moves, Galileo sided with the Copernican view and showed that it was superior
6 ;;Quote: summary of Galileo's Dialog: experiments performed on the earth are independent of the earth's motion, celestial phenomena support the Copernican hypothesis, and the tides are due to the earth's movement
13 ;;Quote: three perpendiculars from an origin determine the three dimensions of length, breadth, and height with three unique, shortest lines
18 ;;Quote: whenever defects are seen in the foundations, it is reasonable to doubt everything else that is built upon them
18+;;Quote: need to establish new basic principles because Aristotle's views present many and grave difficulties
20 ;;Quote: a body at rest will move only under a natural tendency toward some particular place
20+;;Quote: for a body to acquire any degree of speed it must first pass through all gradations of lesser speed
24 ;;Quote: velocities are equal when the space passed is in the same proportion has as the time passed; more general than equal spaces in equal times
32 ;;Quote: Aristotle held that sensible experiments were better than human arguments
32+;;Quote: those who contradict the evidence of any sense deserved to lose that sense; e.g., heavy things go down and fire and air move up
41 ;;Quote: the celestial bodies are generable and corruptible like the earth; e.g., sun spots and the mountains on the moon as shown by the telescope
64 ;;Quote: the phases of the moon as seen from earth are the same as the phases of the earth as seen from the moon
103 ;;Quote: extensive knowledge is as nothing because understanding a thousand intelligibles is nothing to the infinity that exist
103+;;Quote: intensive knowledge, e.g., mathematics, equals the Divine in objective certainty because the knowledge is necessary
103 ;;Quote: our mathematical knowledge is the same as Divine wisdom but we reason by steps while His is one of simple intuition
103+;;Quote: mathematical knowledge is virtually included in the definition of all things
105 ;;Quote: writing is the greatest of all inventions because it allows one to communicate across vast distances and time
106 ;;Quote: two world views: the heavens are incorruptible and inalterable while the earth is corruptible and alterable, or the earth is a moving body like the moon and planets
108 ;;Quote: relying on the authority of Aristotle despite contradictory experience is like making an oracle out of a log of wood; e.g., nerves originating in the heart
116 ;;Quote: motion is relative to things at rest; among things that share equally in a motion, motion is as if it did not exist
116 ;;Quote: it is more sensible to rotate the earth than to rotate the skies; otherwise an immense number of extremely large bodies move with inconceivable velocities
116+;;Quote: nature does not act by means of many things when it can do so by means of a few
186 ;;Quote: from within a cabin below decks of a large ship, you can not distinguish standing still from moving uniformly
199 ;;Quote: Galileo used a diagram to represent the change in velocity of an object over equal times; probably the first such diagram
207 ;;Quote: a mathematical scientist must deduct material hindrances just as a merchant computer must discount the boxes from the weight of sugar
207+;;Quote: the results of mathematical science can agree with reality as accurately as do commercial calculations
207+;;Quote: a perfect, material sphere and a perfect, material plane would touch in just one point in the same way that a mathematical plane touches a mathematical sphere
217 ;;Quote: the tendency to throw off objects depends on the speed of revolution and not on the speed at the circumference; the earth moves too slowly to throw off stones
221 ;;Quote: the acceleration of straight motion in heavy bodies proceeds according to the odd numbers beginning from one; i.e., the spaces passed over are to each other as the squares of the times
229 ;;Quote: an accelerating object travels half the distance as an object in uniform motion at the final velocity; probably the first mathematical integration applied to mechanics
231 ;;Quote: the upper links of a pendulum's chain attempt to travel faster than the pendulum and thus lessen the pendulum's vibrations
235 ;;Quote: the upward motion of thrown objects is just as natural as the downward motion due to gravity
250 ;;Quote: if you throw an object down from the top of a tower, only the downward motion is sensible; the motion of the earth is independent
339 ;;Quote: Copernicus believed that Venus goes around the sun even though Venus when far from the earth was nearly the same size as it was when close to the earth
377 ;;Quote: the circumference of an infinite circle and a straight line are the same thing
425 ;;Quote: tides are caused by the motion of the earth jostling the seas, like a barge full of water

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