Giuseppe Peano quotes

“No number before zero. The numbers may go on forever, but like the cosmos, they have a beginning.”
-- Giuseppe Peano

#Zero Quotes #Numbers Quotes #Forever Quotes

“Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy's main source of problems. That is why it is of the utmost importance to examine attentively the very words we use.”
-- Giuseppe Peano

Source : "The Principles of Arithmetic, presented by a new method". Book by Giuseppe Peano, 1889.

#Philosophy Quotes #Foundation Quotes #Use Quotes

“In every science, after having analysed the ideas, expressing the more complicated by means of the more simple, one finds a certain number that cannot be reduced among them, and that one can define no further. These are the primitive ideas of the science; it is necessary to acquire them through experience, or through induction; it is impossible to explain them by deduction.”
-- Giuseppe Peano

Source : "The Mathematical Philosophy of Giuseppe Peano". Philosophy of Science Vol. 30, No. 3, July 1963.

#Mean Quotes #Simple Quotes #Ideas Quotes

“Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses. But in order that this work merit the name of Geometry, it is necessary that these hypotheses or postulates express the result of the more simple and elementary observations of physical figures.”
-- Giuseppe Peano

Source : "The Mathematical Philosophy of Giuseppe Peano". Philosophy of Science Vol. 30, No. 3, July 1963.

#Simple Quotes #Order Quotes #Names Quotes

“Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define.”
-- Giuseppe Peano

Source : Giuseppe Peano (2013). “Geometric Calculus: According to the Ausdehnungslehre of H. Grassmann”, p.17, Springer Science & Business Media

#Numbers Quotes #Operations Quotes #Entity Quotes

“1. 0 is a number.2. The immediate successor of a number is also a number.3. 0 is not the immediate successor of any number.4. No two numbers have the same immediate successor.5. Any property belonging to 0 and to the immediate successor of any number that also has that property belongs to all numbers.”
-- Giuseppe Peano

#Two Quotes #Numbers Quotes #Number 2 Quotes

“1. 0 is a number. 2. The immediate successor of a number is also a number. 3. 0 is not the immediate successor of any number. 4. No two numbers have the same immediate successor. 5. Any property belonging to 0 and to the immediate successor of any number that also has that property belongs to all numbers.”
-- Giuseppe Peano

Source : "Galileo's Finger: The Ten Great Ideas of Science" by Peter Atkins, Ch. 10, (p. 333), 2003.

#Two Quotes #Numbers Quotes #Number 2 Quotes

“The United States can pay any debt it has because we can always print money to do that. So there is zero probability of default.”

“Food is a subject of conversation more spiritually refreshing even than the weather, for the number of possible remarks about the weather is limited, whereas of food you can talk on and on and on.”

“Courage is poorly housed that dwells in numbers; the lion never counts the herd that are about him, nor weighs how many flocks he has to scatter.”

“I had Lana and she was the number one player on my team”

“If by the mere force of numbers a majority should deprive a minority of any clearly written constitutional right, it might, in a moral point of view, justify revolution.”

“A number of current theoretical explorations will turn out to be passing fancies...”

Source : "Inward Bound : Of Matter and Forces in the Physical World" by Abraham Pais, (p. 45), 1988.

“What to paint was a problem for the war artist... the old heroics, the death and glory stuff, were gone forever... the impressionistic technique I had developed was now ineffective, for visual impressions were not enough.”

“For me, the most important thing is the element of chance that is built into a live performance. The very great drawback of recorded sound is the fact that it is always the same. No matter how wonderful a recording is, I know that I couldn't live with it--even of my own music--with the same nuances forever.”

“I never imagined anyone like you, Blaire. But every time I think about forever with you, I’m humbled that you chose me.”

“From earliest times, humans - explorers and thinkers - have wanted to figure out the shape of their world. Forever, the way we've done that is through storytelling. It is difficult to let the truth get in the way of a good story.”