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Answer for the clue "An unintentionally invalid argument ", 10 letters:
paralogism

Word definitions for paralogism in dictionaries

The Collaborative International Dictionary Word definitions in The Collaborative International Dictionary
Paralogism \Pa*ral"o*gism\, n. [Gr. paralogismo`s, fr. paralogi`zesqai to reason falsely; para` beside + logi`zesqai to reason, lo`gos discourse, reason: cf. F. paralogisme.] (Logic) A reasoning which is false in point of form, that is, which is contrary ...

WordNet Word definitions in WordNet
n. an unintentionally invalid argument

Wiktionary Word definitions in Wiktionary
n. A fallacious argument or illogical conclusion, especially one committed by mistake, or believed by the speaker to be logical.

Usage examples of paralogism.

The paralogism included in the very enunciation of the parallelist thesis is explained in a memoire presented to the Geneva International Philosophical Congress in 1904.

He believed also in the complementary paralogism that you had only to get rid of social restraints and erroneous mythology to make the Grand Passion universally chronic.

When a man commits a paralogism or lays claim to a more than human knowledge of the nature of things, we are justified in saying that he is wrong.

And here I suspect is the ground of all paralogisms and antinomies with which Reason has been charged.

When, therefore, Plato puts into his mouth such paralogisms, such quibbles on words, and sophisms, as a school boy would be ashamed of, we conclude they were the whimsies of Plato's own foggy brain, and acquit Socrates of puerilities so unlike his character.

As therefore the paralogisms of pure reason formed the foundation for a dialectical psychology, the antinomy of pure reason will place before our eyes the transcendental principles of a pretended pure (rational) cosmology, not in order to show that it is valid and can be accepted, but, as may be guessed from the very name.

The Scholastics, not excepting even their Doctor Angelicus, have misunderstood this argument, and have taken it as a paralogism.