Thursday, May 09, 2024 Text is available under the CC BY-SA 3.0 licence.

Leonardo da Vinci

« All quotes from this author
 

The smallest natural point is larger than all mathematical points, and this is proved because the natural point has continuity, and any thing that is continuous is infinitely divisible; but the mathematical point is indivisible because it has no size.

 
Leonardo da Vinci

» Leonardo da Vinci - all quotes »



Tags: Leonardo da Vinci Quotes, Authors starting by V


Similar quotes

 

Wherever there is a conscious mind, there is a point of view. A conscious mind is an observer, who takes in the information that is available at a particular (roughly) continuous sequence of times and places in the universe. A mind is thus a locus of subjectivity, a thing it is like something to be (Farrell, 1950, Nagel, 1974). What it is like to be that thing is partly determined by what is available to be observed or experienced along the trajectory through space-time of that moving point of view, which for most practical purposes is just that: a point. For instance, the startling dissociation of the sound and appearance of distant fireworks is explained by the different transmission speeds of sound and light, arriving at the observer (at that point) at different times, even though they left the source simultaneously.

 
Daniel C. Dennett
 

Point A to point B, Oh I know
lots of points with no points in between for me
so lonely but never alone I know
I'm at my house but i wish that I was at home.

 
Modest Mouse
 

...the stereographic projection of the spherical surface. From the north pole P we draw radial lines to project every point of the surface of the sphere upon the horizontal plane [below, perpendicular to a line joining it to P and the sphere's center]. In general this transformation is unique and continuous , although the metrical relations are distorted; for the point P, however, it shows a singularity. Point P is mapped upon the infinite; i.e., no finitely located point of the plane corresponds to it. It can be shown that every transformation possesses a singularity in at least one point. The surface of the sphere is therefore called topologically different from the plane. Only a "sphere without a north pole" [point] would be topologically equivalent to a plane. ...such a sphere has a point-shaped hole without a boundary and is no longer a closed surface.

 
Hans Reichenbach
 

If the system exhibits a structure which can be represented by a mathematical equivalent, called a mathematical model, and if the objective can be also so quantified, then some computational method may be evolved for choosing the best schedule of actions among alternatives. Such use of mathematical models is termed mathematical programming.

 
George Dantzig
 

No, as none of these, but instead a point in space, a point hung precise as the point where burning must end, never launched, never to fall. And what is the specific shape whose center of gravity is the Brennschluss Point? Don't jump at an infinite number of possible shapes. There's only one. It is most likely an interface between one order of things and another. There's a Brennschluss point for every firing site. They still hang up there, all of them, a constellation waiting to have a 13th sign of the Zodiac named for it...

 
Thomas Pynchon
© 2009–2013Quotes Privacy Policy | Contact