Quotable Math

Quotable Mathematics - Quotes and Resources related to Mathematics, (Mathematical) Sciences and Mathematicians

[Quotable Math @QuotableMath]

"[In modern #math] there is a strong tendency towards formulations of concepts that minimise the number and significance of arbitrary choices. This crispness tends to emphasise the naturality of the construction or definition, at the expense sometimes of accessibility." T Gannon

[Quotable Math @QuotableMath]

"Men of #science have made abundant #mistakes of every kind; their #knowledge has improved only because of their gradual abandonment of ancient #errors, poor #approximations, and premature #conclusions." George Sarton, 1959

#quotes

[Quotable Math @QuotableMath]

"#Measurement [.] always has an element of #error in it. The most exact description or #prediction that a scientist can make is still only approximate." Abraham Kaplan, 1964

#math #quotes #approximation

[Quotable Math @QuotableMath]

"Mathematical #programming (or #optimization" #theory) is that branch of #mathematics dealing with techniques for maximizing or minimizing an #objective #function subject to linear, nonlinear, and integer constraints on the variables." George B Dantzig et al, 1997
#math #quotes

[Matt Dancho (Business Science) @mdancho84]

Understanding probability is essential in data science.

In 4 minutes, I'll demolish your confusion.

Let's go!

[Quotable Math @QuotableMath]

"In most #engineering #problems, particularly when solving #optimization problems, one must have the opportunity of comparing different variants quantitatively. It is therefore important to be able to state a clear-cut quantitative #criterion." Yakov Khurgin, 1974
#math #quotes

[Quotable Math @QuotableMath]

"[.] the sole law of #physics with no known exceptions anywhere in the #universe is this: All creation is headed to the basement. Everything in the #universe is steadily sliding down the slope toward the supreme equality of wasted heat and maximum #entropy." Kevin Kelly, 2010

[Quotable Math @QuotableMath]

"A #pattern is a #design or #model that helps grasp something. Patterns help connect things that may not appear to be connected. Patterns help cut through #complexity and reveal simpler understandable #trends." Anil K Maheshwari, 2015

#science #quotes #understanding #simplicity

[Quotable Math @QuotableMath]

"Statistical #models for #data are never true. The question whether a model is true is irrelevant. A more appropriate question is whether we obtain the correct scientific conclusion [.]" Scott Zeger, 1991
#science #statistics #quotes

[Quotable Math @QuotableMath]

"[.] it is not enough to say: 'There's #error in the #data and therefore the study must be terribly dubious'. A good critic and data analyst must do more: he or she must also show how the error in the #measurement or the #analysis affects the #inferences made [.]" E R Tufte, 1974

[Quotable Math @QuotableMath]

"You can very generally think of a #manifold as a #space which is locally #Euclidian - that means that if you look closely enough at one small part of a manifold then it basically looks like Rn for some n." Jon P Fortney, 2018
#math #quotes #geometry

https://t.co/ZCL04pMT1o

[Quotable Math @QuotableMath]

"The self-similarity on different #scales arises because growth often involves #iteration of simple, discrete #processes (e.g. branching). These repetitive processes can often be summarized as sets of simple #rules." David G Green, 2000

#math #quotes #similarity

[Quotable Math @QuotableMath]

"The peculiarity of [...] statistical #hypotheses is that they are not conclusively refutable by any #experience." Richard B Braithwaite, 1953
#statistics #quotes

https://t.co/nPxaxHZ8YA

[Quotable Math @QuotableMath]

"#Science consists simply of the formulation and testing of #hypotheses based on observational #evidence; #experiments are important where applicable, but their function is merely to simplify #observation by imposing controlled #conditions." Henry L Batten, 1971
#quotes

[Quotable Math @QuotableMath]

"#Mathematics is not about abstract entities alone but is about relation of abstract entities with real entities. […] Adequacy relations between abstract and real entities provide space or opportunity where mathematical and logical #thought operates parsimoniously." N Singh 2005

[Quotable Math @QuotableMath]

"[.] the argument from #parsimony is really no argument at all - it typically functions only to shut down more interesting discussion. If history is any guide, it's never a good idea to assume that a scientific #problem is cornered." D Eagleman 2011
#math
https://t.co/YJLfX4C5I2

[Quotable Math @QuotableMath]

"A picture may be worth a thousand words, a #formula is worth a thousand #pictures." Edsger Dijkstra, 1994

#dataviz #math #quotes

[Quotable Math @QuotableMath]

"In many instances, a picture is indeed worth a thousand words. [.] Naive #pictures are often extremely helpful, but more sophisticated pictures can be both simple and even more informative." John W Tukey et al, 1966

#dataviz #statistics #simplicity

https://t.co/ca6DtRUfLC

[Quotable Math @QuotableMath]

"[.] we must not measure the #simplicity of the #laws of #nature by our facility of conception; but when those which appear to us the most simple, accord perfectly with #observations of the #phenomena, we are justified in supposing them rigorously exact." P-S Laplace,1809
#quotes

[Quotable Math @QuotableMath]

"[...] #Nature herself takes you by the hand and shows you the outline of mathematical #theories that an unaided pure #mathematician would not have seen. But many details remain hidden, and it is our task to bring them to light." David Ruelle, 2007

#math #quotes #physics