Why is Universal Skepticism a Fallacy?
The Brief Historical Sketch of Epistemological Skepticism
- The differences of opinions and theories among men
- The necessity of an infinite regress for every demonstration
- The subjective and relative character of all perception
- The gratuitous assumption of all axioms and principles
- The vicious circle or begging of question, involved in every syllogism.
- Impressions, which are the more lively perceptions
- Ideas, which are but faint images of impressions
- We show directly that universal doubt is an improper approach to the problem of knowledge
- We demonstrate indirectly that any system which logically leads to skepticism must be intrinsically wrong.
Skepticism and Descartes' Doubt
Classes of Truth: The Mediate Judgments as Results of Inductive Process
The fourth class of truths is contained in mediate judgments which are the result of an inductive process generalizing the individual, concrete data of direct sense-perception into laws of a universal character.
The generalizations and laws of experimental science are of this type. After careful investigation and extensive experimentation the intellect perceives the essential elements in a series of repeated phenomena and occurrences and then expresses the true cause in a definite judgment or law.
It is not necessary for science to investigate every single case of the past and present; that, in fact, would be impossible. Since I have arrived at knowledge of the essential elements of the phenomenon in question, the law which the intellect has formulated has a universal and necessary value and applies with equal force to each and every phenomenon of that class.
An instance will make this clear. It was noticed that the boiling point of water is always +212 degrees Fahrenheit at sea level. Taking this as a starting point, scientists made a great number of experiments of boiling water at seal level, and the result was in each case the same: water boiled at +212 degrees Fahrenheit.
Thus the law was formulated by means of a generalization: 'The boiling point of water is +212 degree Fahrenheit at sea level.' This being an essential characteristic of water, it was not necessary to take every drop of water on the globe to sea level and boil it; scientists know that it will boil, because such is the nature of water.
Every such law is a mediate judgment which expresses a necessary and universal truth, based upon the Principle of Sufficient Reason and the Principle of Causality.
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The Epistemological Problem
Classes of Truth: The Mediate Judgments to Attain Truth
The third classes of truths are those contained in mediate judgments deduced by inference (reasoning) from 'first principles.'
These mediate judgments are based on self-evident 'first principles' or 'axioms,' but they themselves are not self-evident; it takes a process of reasoning to show that they follow necessarily from these axioms.
Mathematical deductions are examples of this class of judgments. That 38,400 is divisible by 2,560 fifteen times is not in itself directly clear; but if we perform the division, or multiply 2,560 by 15, we can prove the truth of the judgment. Similarly, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares constructed on the other two sides is clear enough when the proof is furnished by a process of reasoning: but it is not a self-evident truth like the statement that a plane square encloses four right angles.
A mere explanation or comparison of ideas will not suffice in these cases to perceive the truth of such judgments by means of immediate intuition; mediate inference is require to establish the logically necessary connection between such truths and the axioms upon which they are based. However, once this connection is demonstrated, these deductive judgments are as true as their 'first principles,' unless it can be proven that man's reasoning powers are essentially invalid in their operations. Man's conviction is, of course, that he can reason in a valid manner.
Provided, then that man's reasoning powers are essentially valid, these mediate judgments derived from 'first principles' possess universal, necessary, absolute truth.
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Classes of Truth: The Mediate Judgments as Results of Inductive Process
Classes of Truth: The Immediate Judgments to Attain Truth
The second among the classes of truth are the immediate judgments containing truths which are derived from direct experience through internal and external sense-perceptions.
Here are examples: 'That lady waling along the street has a package under her arm.' 'That boy is running.' 'I have a pain in my tooth.' 'I am thinking and writing.' Such judgments refer to individual concrete facts, events, persons, and objects. We do not arrive at the truth of these judgments through a mere analysis of the ideas contained in them. Take the judgment, 'That boy is running.'
On comparing the ideas 'boy' and 'running' alone by themselves, independent of experience, I cannot know whether I should unite them into a judgment, because there is no necessary connection between the ideas 'boy' and 'running'; the boy might just as well be 'standing' or 'sitting' or 'walking.' That I actually judge, 'That boy is running,' is due to my actual experience of seeing him run. Such judgments, then, are not analytical but synthetic; they contain empirical truths, based on direct experience.
As such, therefore, they are not considered to be universal, necessary, and absolute truths; they are contingent and experiential truths which may change with changing circumstances. A comparison between this and the foregoing group of judgments will reveal at a glance that the synthetic judgments have by no means the general truth-value of the analytical judgments, so far as knowledge is concerned.
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Classes of Truth: The Mediate Judgments to Attain Truth
Classes of Truth: The Analytical Judgments to Attain Truth
First of all, we possess analytical judgments, which contain truths directly evident to the intellect through a comparison or analysis of the ideas of the judgment, without the aid of any immediate sense-perception or logical reasoning. For instance: 'The whole is greater than any of its parts'; 'a plane square encloses four right angles'; 'something cannot be true and false at the same time'; 'it is impossible that a thing exist and not exist at the same time'; 'everything must have a sufficient reason.' Such judgments, called 'first principles,' are immediately evident to the intellect by merely analyzing the ideas contained in them, provided the intellect knows what these ideas mean. They need to demonstration and no direct sense-perception to verify them.
If I know what a 'plane square' is and what a 'right angle' is, a mere comparison of these two ideas will make it clear to the intellect that 'A plane square encloses four right angles,' one in each corner of the figure. Again, if I know what 'whole' and 'part' mean, it is evident with similar axioms. Such principles are at the bottom of all knowledge, and they are, as all admit, indubitably present in our spontaneous convictions.
Axioms, like the Principle of Identity, the Principle of Contradiction, and the Principle of Sufficient Reason, are used, consciously or unconsciously, in every act of reasoning and are considered to be universally, necessarily and absolutely true.
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Classes of Truth: The Immediate Judgments to Attain Truth