Deductive Sentence Examples

For De Maillet not only has a definite conception of the plasticity of living things, and of the production of existing species by the modification of their predecessors, but he clearly apprehends the cardinal maxim of modern geological science, that the explanation of the structure of the globe is to be sought in the deductive application to geological phenomena of the principles established inductively by the study of the present course of nature.

He lectured on logic, deductive and inductive, systematic psychology and ethical theory.

If their view is correct, the theory appears to be a remarkable example of deductive reasoning.

Hence, without his saying it in so many words, Aristotle's logic perforce became a logic of deductive reasoning, or syllogism.

On the whole, then, analogical, inductive and deductive inferences are not the same but three similar and closely connected processes.

These attempts at the unification of algebra, and its separation from other branches of mathematics, have usually been accompanied by an attempt to base it, as a deductive science, on certain fundamental laws or general rules; and this has tended to increase its difficulty.

More particularly by the confusion in which he left the relation between the two logical principles of identity and of sufficient reason underlying respectively analytic and synthetic, deductive and inductive thought, he may be said to have undermined in another way the idealism he strove to establish.

He asserts that in Scotland the inductive method was unknown, and that although Smith spent some of the most important years of his youth in England, where the inductive method was supreme, he yet adopted the deductive method because it was habitually followed in Scotland.

That Smith does, however, largely employ the deductive method is certain; and that method is legitimate when the premises from which the deduction sets out are known universal facts of human nature and properties of external objects.

Deductive or Syllogistic Inference, from universal to particular, e.g.

The reformed Aristotelian logic of the first-named with its inductio demonstrativa, the mathematicophysical analysis followed by synthesis of the second, the exclusiva, or method of exclusions of the last, agree at least in this, that the method of science is one and indivisible, while containing both an inductive and a deductive moment.

Once we arrive at the concept of human action, Mises ' deductive logical derivations can come into play.

Clifford's Make and Do Coloring Pages feature fun learning activities to help build reasoning and deductive skills such as mazes and dot-to-dot.

But an inductive and deductive treatment, both comprehensive and in due proportion, does not as yet (19to) exist, and awaits fuller external evidence.'

Aristotelian syllogisms constituted the deductive schemas for logical inference and were relatively uncontroversial.

Thus, while arithmetic may be defined as that branch of deductive reasoning concerning classes and relations which is concerned with the establishment of propositions concerning cardinal numbers, it must be added that the introduction of cardinal numbers makes no great break in this general science.

Children learn deductive reasoning skills and vocabulary (without even knowing it!) as they ask questions about their opponent's mystery character.

What may justly be said of Smith is that the deductive bent was not the predominant character of his mind, nor did his great excellence lie in the "dialectic skill" which Buckle ascribes to him.

Now, as an inductive combination of premises does not necessarily involve the inductive conclusion, induction normally leads, not to a necessary, but to a probable conclusion; and whenever its probable conclusions become deductive premises, the deduction only involves a probable conclusion.

Necessary principles, discovered by this process of induction and identification, become premises of deductive demonstration to conclusions which are not only necessary consequents on the premises, but also equally necessary in reality.

In fact, analogical, inductive and deductive inferences, though different processes of combining premises to cause different conclusions, are so similar and related, so united in principle and interdependent, so consolidated into a system of inference, that they cannot be completely investigated apart, but together constitute a single subject of science.

As it happened this deductive tendency helped the development of logic. The obscurer premises of analogy and induction, together with the paucity of experience and the backward state of physical science in Aristotle's time would have baffled even his analytical genius.

Aristotle's analysis of the syllogism showed man how to advance by combining his thoughts in trains of deductive reasoning.

Among the dialecticians, Socrates had used inductive arguments to obtain definitions as data of deductive arguments against his opponents, and Plato had insisted on the processes of ascending to and descending from an unconditional principle by the power of giving and receiving argument.

But he laid too much stress on reasoning as syllogism or deduction, and on deductive science; and he laid too much stress on the linguistic analysis of rational discourse into proposition and terms. These two defects remain ingrained in technical logic to this day.

It teaches us that scientific method is sometimes induction, sometimes deduction, and sometimes the consilience of both, either by the inductive verification of previous deductions, or by the deductive explanation of previous inductions.

The founder of logic anticipated the latest logic of science, when he recognized, not only the deduction of mathematics, but also the experience of facts followed by deductive explanations of their causes in physics.

The consilience of empirical and deductive processes was an Aristotelian discovery, elaborated by Mill against Bacon.

On the whole, however, Aristotle, Bacon and Mill, purged from their errors, form one empirical school, gradually growing by adapting itself to the advance of science; a school in which Aristotle was most influenced by Greek deductive Mathematics, Bacon by the rise of empirical physics at the Renaissance, and Mill by the Newtonian combination of empirical facts and mathematical principles in the Principia.

From studying this succession of empirical logicians, we cannot doubt that sense, memory and experience are the real origin of inference, analogical, inductive and deductive.

Moreover, as it becomes more deductive, and causes conclusions further from sensory experience, these inferential judgments become causes of inferential conceptions.

Sense is the evidence of inference; directly of analogical and inductive, directly or indirectly of deductive, inference; and therefore, if logic refuses to include sensory beliefs among judgments, it will omit the fundamental constituents of inference, inference will no longer consist of judgments but of sensory beliefs plus judgments, and the second part of logic, the logic of judgment, the purpose of which is to investigate the constituents of inference, will be like Hamlet without the prince of Denmark.

Rather a scientific process, which as experiential may be called inductive, but which is in other regards deductive as syllogism, is set up in constrast to syllogism YvI.

Equally, too, the deductive character, apparently in intention as well as in actual fact, of Mill's experimental methods fails to recall the point of theory that the process is essentially one from particular to particular.

The true scientific procedure is by hypothesis followed up and tested by verification; the most powerful instrument is the deductive method, which Bacon can hardly be said to have recognized.

His Studies in Deductive Logic, consisting mainly of exercises and problems for the use of students, was published in 1880.

Indeed, he seems himself quite undecided on this question; since, though he generally represents ethical method as deductive, he also speaks of the " original judgment that this action is right and that wrong."

Modern theoretical astronomy, taken in the most limited sense, is based upon Celestial Mechanics, the science by which, using purely deductive mechanical methods, the laws of motion of the heavenly bodies are derived by deductive methods from their mutual gravitation towards each other.

Celestial Mechanics is, strictly speaking, that branch of applied mathematics which, by deductive processes, derives the laws of motion of the heavenly bodies from their gravitation towards each other, or from the mutual action of the parts which form them.

It connects the moral world by a deductive process with the fundamental idea of knowledge and being; it offers a view of the entire world of human action which at all events aims at being exhaustive; it presents an arrangement of the matter of the science which tabulates its constituents after the model of the physical sciences; and it supplies a sharply defined treatment of specific moral phenomena in their relation to the fundamental idea of human life as a whole.

Unlike the deductive it consists in establishing a conclusion from particular premises, i.e.

Hence, the attempt to rescue inductive inferences by grafting deductive inferences onto them disguises rather than solves the problem of induction.

It may be held to recognize the validity of divine laws, for example; or it may be confined to the deductive process of applying those laws to particular cases, known as "cases of conscience" (see Casuistry).

All we aspire to add is that, in order to attain to real truth, we must proceed gradually from sense, memory and experience through analogical particular inference, to inductive and deductive universal inference or reasoning.

The characterization of Holmes, his ability of ingenious deductive reasoning, was based on... Continue reading Sir Arthur Conan Doyle 's Biography.

Older children can enjoy the simple complexities of the game and in the process learn about facial recognition and increase math skills through deductive reasoning.

They are so skilled in this deductive reasoning that you'll often find them in careers where this talent is essential.

Players can guess what kinds of looks their friends have come up with by using deductive reasoning or simply experiment with different looks to figure out what they find appealing.

Really, he urged, there could be only one substance - Descartes himself had dropped a passing hint to that effect - and the bold deductive reasoning of Spinoza's Ethics, in process if not in result, betrays its kinship to the ontological argument, with its affirmation of what must be.

But while we have yet to wait for that expansion of principal triangulation which will bring Asia into connexion with Europe by the direct process of earth measurement, a topobetween graphical connexion has been effected between Russian Russ/an and Indian surveys which sufficiently proves that the and deductive methods employed by both countries for the Indian determination of the co-ordinate values of fixed points so surveys.

Whatever be the historical worth of this story, it may safely be said that it cannot be disproved by deductive reasoning from the premisses of abstract logic. The most we can do is to assert that a universe in which such things are liable to happen on a large scale is unfitted for the practical application of the theory of cardinal numbers.

Mechanics (including dynamical astronomy) is that subject among those traditionally classed as "applied" which has been most completely transfused by mathematics - that is to say, which is studied with the deductive spirit of the pure mathematician, and not with the covert inductive intention overlaid with the superficial forms of deduction, characteristic of the applied mathematician.

Relative to the uncertain connexion of length, capacity and weight in the ancient metrological systems of the East, Sir Charles Warren, R.E., has obtained by deductive analysis a new equivalent of the original cubit (Palestine Exploration Fund Quarterly, April, July, October 1899).

By some it is considered to have been purely deductive, a view which Buckle has perhaps carried to the greatest extreme.

It was counteracted to some extent by the study at the universities of the deductive logic of Aristotle and the inductive logic of Bacon, by parts of Mill's own logic, and by the natural realism of Reid, Stewart, and Hamilton, which met Hume's scepticism by asserting a direct perception of the external world.

The work as a whole is a striking example of the weakness of treating economic problems from a purely a priori standpoint by the deductive method.

Rather it began as a science of reasoning (Xbyos), of syllogism (vvXXoycvA6s), of deductive inference.

Lastly, the science of inference is not indeed the science of sensation, memory and experience, but at the same time it is the science of using those mental operations as data of inference; and, if logic does not show how analogical and inductive inferences directly, and deductive inferences indirectly, arise from experience, it becomes a science of mere thinking without knowledge.

The result is that both Sigwart and Wundt transform the inductive process of adducing particular examples to induce a universal law into a deductive process of presupposing a universal law as a ground to deduce particular consequences.

But he was certainly not ignorant of what may be called a deductive method, and of a kind of hypothesis.

The Inductive Syllogism, like the deductive, is first systematized by Aristotle, who described it as o E brawl/Cis ovXXoycaµos.

The characterization of Holmes, his ability of ingenious deductive reasoning, was based on... Continue reading Sir Arthur Conan Doyle's Biography.

This excess of the deductive spirit explains at once both the merits and the defects of his two great works, which will probably remain political classics, though they are less and less likely to be used as practical guides.