Generalize Quotes (5)

Another characteristic of mathematical thought is that it can have no success where it cannot generalize.
In Eberhard Zeidler, Applied Functional Analysis: main principles and their applications (1995), 282.
See also:  |  Characteristic (12)  |  Mathematics (221)  |  Success (33)  |  Thinking (56)

Before you generalize, formalize, and axiomatize there must be mathematical substance.
In Eberhard Zeidler, Applied Functional Analysis: main principles and their applications (1995), 282.
See also:  |  Axiom (8)  |  Mathematics (221)  |  Substance (7)

Man is made for science; he reasons from effects to causes, and from causes to effects; but he does not always reason without error. In reasoning, therefore, from appearances which are particular, care must be taken how we generalize; we should be cautious not to attribute to nature, laws which may perhaps be only of our own invention.
'Theory of the Earth', Transactions of the Royal Society of Edinburgh, 1788, 1, 273.
See also:  |  Cause (49)  |  Effect (15)  |  Error (97)  |  Law (134)  |  Man (112)  |  Nature (243)  |  Reason (69)  |  Science (444)

No generalizing beyond the data, no theory. No theory, no insight. And if no insight, why do research.
'Developing Theory About the Development of Theory,' in Ken G. Smith and Michael A. Hitt, Great Minds in Management: the Theory of Process Development (2005), 361.
See also:  |  Data (24)  |  Insight (16)  |  Research (208)  |  Theory (179)

Random search for data on ... off-chance is hardly scientific. A questionnaire on 'Intellectual Immoralities' was circulated by a well-known institution. 'Intellectual Immorality No. 4' read: 'Generalizing beyond one's data'. [Wilder Dwight] Bancroft asked whether it would not be more correct to word question no. 4 'Not generalizing beyond one's data.'
From Dream to Discovery: On Being a Scientist (1964), 279. In Henry Mintzberg, essay, 'Developing Theory About the Development of Theory,' in Ken G. Smith and Michael A. Hitt, Great Minds in Management: the Theory of Process Development (2005), 361.
See also:  |  Wilder Dwight Bancroft (4)  |  Data (24)  |  Intellect (47)  |  Random (4)  |  Search (10)

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