In experimental philosophy, propositions gathered from phenomena by induction should be considered either exactly or very nearly true notwithstanding any contrary hypotheses, until yet other phenomena make such propositions either more exact or liable to exceptions.
Interpretation
Newton emphasizes the importance of inductive reasoning in science, valuing observed phenomena as nearly true until proven otherwise.
In this quote, Isaac Newton articulates a fundamental principle of scientific inquiry: that observations and propositions derived from empirical data should be held as true unless compelling evidence to the contrary emerges. He underscores the value of induction in understanding the natural world, suggesting that scientific knowledge is provisional and subject to refinement as new data becomes available.
In practice
In a classroom setting during a science lecture on the scientific method.
The best and safest way of philosophising seems to be, first to enquire diligently into the properties of things, and to establish those properties by experiences [experiments] and then to proceed slowly to hypotheses for the explanation of them. For hypotheses should be employed only in explaining the properties of things, but not assumed in determining them; unless so far as they may furnish experiments.
Plato is my friend, Aristotle is my friend, but my greatest friend is truth.
His epitaph: Who, by vigor of mind almost divine, the motions and figures of the planets, the paths of comets, and the tides of the seas first demonstrated.
And from true lordship it follows that the true God is living, intelligent, and powerful; from the other perfections, that he is supreme, or supremely perfect. He is eternal and infinite, omnipotent and omniscient; that is, he endures from eternity to eternity; and he is present from infinity to infinity; he rules all things, and he knows all things that happen or can happen.
My Design in this Book is not to explain the Properties of Light by Hypotheses, but to propose and prove them by Reason and Experiments: In order to which, I shall premise the following Definitions and Axioms.
It is the weight, not numbers of experiments that is to be regarded.
We put water down into the earth to push up gas, then we say, 'Ooh, we're having a water crisis.' This is foolishness, and this kind of foolishness, where we try to excuse human behavior, is dangerous.
In order to shake a hypothesis, it is sometimes not necessary to do anything more than push it as far as it will go.
I have the idea that running shoes are based on a kind of cult idea - that our feet are flawed and we need shoes to correct those flaws. The shoe companies are in the business of selling shoes. But there's no evidence from running shoe manufacturers that they're right. There's no scientific data that running shoes reduce injury.
Surgery is the red flower that blooms among the leaves and thorns that are the rest of medicine.
The classification of facts and the formation of absolute judgments upon the basis of this classification-judgments independent of the idiosyncrasies of the individual mind-essentially sum up the aim and method of modern science. The scientific man has above all things to strive at self-elimination in his judgments, to provide an argument which is as true for each individual mind as for his own.
Hereafter we shall be compelled to acknowledge that the only distinction between species and well-marked varieties is, that the latter are known, or believed to be connected at the present day by intermediate gradations whereas species were formerly thus connected.
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