There are two modes of acquiring knowledge, namely, by reasoning and experience. Reasoning draws a conclusion and makes us grant the conclusion, but does not make the conclusion certain, nor does it remove doubt so that the mind may rest on the intuition of truth unless the mind discovers it by the path of experience.

-Bacon, Roger known as Doctor Mirabilis
  Opus Majus (translated by Robert Belle Burke,1928).

What has Reasoning to do with the Art of Painting?

-Blake,William
c.1808  Annotations to Sir Joshua Reynolds' Discourses.

For, strictly considered, what is all knowledge too but recorded experience, and a product of history; of which, therefore, reasoning and belief, no less than action and passion are essential materials?

-Carlyle,Thomas
  Critical and Miscellaneous Essays,'History'.

When we run over libraries, persuaded of these principles, what havoc must we make? If we take in our hand any volume; of divinity or school metaphysics, for instance; let us ask, Does it contain any abstract reasoning concerning quantity or number? No. Does it contain any experimental reasoning concerning matter of fact or existence? No.Commit itthen tothe flames: for it can contain nothing but sophistry and illusion.

-Hume, David
  An Enquiry Concerning Human Understanding, section12, pt.3.

We must trust to nothing but facts. These are presented to us by Nature, and cannot deceive.We ought, in every instance, to submit our reasoning to the test of experiment, and never to search for truth but by the natural road of experiment and observation.

-Lavoisier, Antoine Laurent
  Traite¤   e¤ l e¤  mentaire de la chimie ('Elements of Chemistry', translated by Robert Kerr).

Tout notre raisonnement se re¤  duit a'   ce¤  der au sentiment. All our reasoning comes down to surrendering to feeling.

-Pascal, Blaise
c.1654^1662  Pense¤  es, no.274 (translated byA Krailsheimer).