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One more reason for irrational beliefs can perhaps be explained by operant conditioning. The result was that each of the pigeons developed their own idiosyncratic response which had become associated with the consequence of receiving grain.
Under this view, there is no way to comprehensively prove that we are actually seeing what we appear to be seeing, that what we remember actually happened, or that the laws of logic and mathematics are actually real.
Instead, all beliefs depend for their coherence on faith in our senses, memory, and reason, because the foundations of rationalism cannot be proven by evidence or reason.
Some have asserted that Martin Luther taught that faith and reason were antithetical in the sense that questions of faith could not be illuminated by reason.
Contemporary Lutheran scholarship however has found a different reality in Luther.
In this view, there are many beliefs that are held by faith alone, that rational thought would force the mind to reject.
As an example, many people believe in the Biblical story of Noah's flood: that the entire Earth was covered by water for forty days.Rationalists contend that this is arrived at because they have observed the world being consistent and sensible, not because they have faith that it is.Beliefs held "by faith" may be seen existing in a number of relationships to rationality: Dei Filius was a dogmatic constitution of the First Vatican Council on the Roman Catholic faith.Faith and rationality are two ideologies that exist in varying degrees of conflict or compatibility. Faith is belief in inspiration, revelation, or authority.The word faith sometimes refers to a belief that is held with lack of reason or evidence, a belief that is held in spite of or against reason or evidence, or it can refer to belief based upon a degree of evidential warrant.But objected that most plants cannot survive being covered by water for that length of time, a boat of that magnitude could not have been built by wood, and there would be no way for two of every animal to survive on that ship and migrate back to their place of origin.(such as penguins), Although Christian apologists offer answers to these and such issues, under the premise that such responses are insufficient, then one must choose between accepting the story on faith and rejecting reason, or rejecting the story by reason and thus rejecting faith.Rationally, you can not prove anything you see is real, but you can prove that you yourself are real, and rationalist belief would be that you can believe that the world is consistent until something demonstrates inconsistency.This differs from faith based belief, where you believe that your world view is consistent no matter what inconsistencies the world has with your beliefs.Luther's concern thus in separating them is honoring their different epistemological spheres.The view that faith underlies all rationality holds that rationality is dependent on faith for its coherence.