“Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses.”

— Giuseppe Peano

"Sui fondamenti della geometria" (1894), p. 141, as quoted in "The Mathematical Philosophy of Giuseppe Peano" by Hubert C. Kennedy, in Philosophy of Science Vol. 30, No. 3 (July 1963)
Context: 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.

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequenc…" by Giuseppe Peano?

Giuseppe Peano7

Italian mathematician 1858–1932

Related quotes

“Therefore alongside the ancient hypotheses, which are no more probable, let us permit these new hypotheses also to become known, especially since they are admirable as well as simple and bring with them a huge treasure of very skillful observations. So far as hypotheses are concerned, let no one expect anything certain from astronomy, which cannot furnish it, lest he accept as the truth ideas conceived for another purpose, and depart from this study a greater fool than when he entered it.”

Nicolaus Copernicus (1473–1543) Renaissance mathematician, Polish astronomer, physician

Part of an unsigned foreword to Copernicus' De revolutionibus orbium coelestium, actually written by Andreas Osiander.
Misattributed

“Customer Development says “Glad you have these hypotheses about your startup. All of them are probably wrong.””

Steve Blank (1953) American businessman

Startup Grind "70,000 tests later, Steve Blank knows how your startup can fail" https://medium.com/startup-grind/70-000-tests-later-steve-blank-knows-how-your-startup-can-fail-81e316baecca#.niap677nt. June 15, 2016.

“[Jensen] does not believe that [heritability] estimates alone can decide the issue of genetic versus environmental hypotheses. However, he argues that the probability of a genetic hypothesis will be much enhanced if, in addition to evidencing high [heritability], we find we can falsify literally every plausible environmental hypothesis one by one. He challenges social scientists who believe in an environmental explanation of the IQ gap between the races to bring their hypotheses forward. Given his competence and the present state of the social sciences, the result is something of a massacre…. Far too many of Jensen's critics have not taken up the challenge to refute him in any serious way, rather they have elected for various forms of escape, the most popular of which has been to seize on an argument put forward by the distinguished Harvard geneticist Richard C. Lewontin.”

James Robert Flynn (1934–2020) New Zealand scholar

Source: Race, IQ, and Jensen (1980), pp. 40, 54. Quoted from Nevin Sesardic, Making Sense of Heritability (2005), p. 136.

“The construction of hypotheses is a creative act of inspiration, intuition, invention; its essence is the vision of something new in familiar material. The process must be discussed in psychological, not logical, categories; studied in autobiographies and biographies, not treatises on scientific method; and promoted by maxim and example, not syllogism or theorem.”

Milton Friedman (1912–2006) American economist, statistician, and writer

"The Methodology of Positive Economics" (1953)

“The man to watch, the man to put your money on, is not the man who wants to make "a survey" or a "more detailed study" but the man with the notebook, the man with the alternative hypotheses and the crucial experiments, the man who knows how to answer your Question of disproof and is already working on it.”

John R. Platt (1918–1992) American physicist

John R. Platt (1964). Cited in: William M. Block, M. Dale Strickland, Bret A. Collier, Markus J. Peterson (2008) Wildlife Study Design. Springer. p. 20 among other places.