deductively

USAGE SUMMARY

The phrase "deductively" is correct and usable in written English.
It can be used when referring to reasoning or conclusions that are derived from general principles or premises to specific instances. Example: "The scientist approached the problem deductively, starting with established theories to draw specific conclusions."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The relationship cannot be deductive; for, if one could deductively derive the particular causal laws from the transcendental principles of the understanding, then the former would have to be synthetic a priori as well.

SEP

A set that is its own deductive closure is said to be deductively closed.

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It is straightforward to show that a set is deductively closed if and only if it is the deductive closure of some set.

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Obviously, Dingle is here arguing against the view, Milne's view, that authentic science may be rationalist in epistemology (scientific knowledge is founded in pure theoretical reasoning apart from sense perception), and hypothetico-deductive in method (general principles are justified by their deductively implying correct observations).

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We are, in fact, reasoning deductively.

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Second, the evaluation of such arguments as being deductively valid or invalid is easier to carry out definitively in the context of a formal system of some sort.

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From these facts philosophers infer deductively, inductively, or abductively by inference to the best explanation that a first or sustaining cause, a necessary being, an unmoved mover, or a personal being (God) exists that caused and/or sustains the universe.

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Richard Swinburne contends that the cosmological argument is not deductively valid; if it were so, "it would be incoherent to assert that a complex physical universe exists and that God does not" (1979, 119).

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Then, Hacking suggests, it follows deductively that our universe had to exist, so \(p(F\mid \neg D \) comes out 1 after all.

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is not deductively valid because the premises are not necessarily sufficient for the conclusion.

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But our discussion of Newton's argument showed that it simply does not have an 'abductive'bestexplanationtion' form, but shows deductively, from Cartesian premises, that rotation is neither proper nor ordinary motion.

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Expert writing Tips

Best practice

When using "deductively", ensure that the context clearly establishes a logical progression from general principles to specific conclusions. This enhances clarity and strengthens the validity of your argument.

Common error

Avoid using "deductively" when the reasoning process is actually inductive, which moves from specific observations to general conclusions. Using "deductively" in an inductive context creates confusion and undermines the logical coherence of your writing.

Linguistic Context

The adverb "deductively" modifies verbs or clauses, indicating that an action or conclusion is reached through deductive reasoning. This means deriving specific conclusions from general principles or premises. Ludwig AI's examples show its use across varied subjects like science and philosophy.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, "deductively" is an adverb that signifies reasoning from general principles to specific conclusions. Ludwig AI confirms its grammatical correctness and its prevalence in formal and scientific contexts. When writing, ensure to use "deductively" when describing an argument or process that follows a clear, logical progression from established truths to specific conclusions. Remember, alternatives like "logically" or "inferentially" can be suitable substitutes depending on the nuance you wish to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

logically

Emphasizes reasoning based on logic and principles.

inferentially

Highlights the process of drawing conclusions from evidence.

by deduction

Uses a prepositional phrase to specify the method of reasoning.

through reasoning

Focuses on the mental process of reaching a conclusion.

by logical inference

More formal, emphasizing the logical nature of the conclusion.

through a deductive process

Highlights the step-by-step nature of deductive reasoning.

using deductive reasoning

Emphasizes the application of a specific type of reasoning.

in a deductive manner

Rephrases the adverb as a prepositional phrase, adding formality.

by way of deduction

Similar to "by deduction", but slightly more verbose.

from first principles

Focuses on the foundational nature of the reasoning.

FAQs

How is "deductively" used in a sentence?

"Deductively" is used to describe a method of reasoning that starts with general statements and leads to a specific conclusion. For example, "The theorem was proven "deductively" from a set of axioms."

What are some alternatives to the word "deductively"?

Alternatives to "deductively" include "logically", "inferentially", or "by deduction". The choice depends on the specific nuance you want to convey.

Is it correct to say "deductively proven"?

Yes, "deductively proven" is a correct and commonly used phrase. It indicates that the proof follows a deductive reasoning process, starting from axioms or general principles.

What's the difference between "deductively" and "inductively"?

"Deductively" refers to reasoning from general principles to specific conclusions, whereas "inductively" refers to reasoning from specific observations to general conclusions. They represent opposite directions in the reasoning process.