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“Atheism is a conclusion reached by the most reasonable methods and one which is not asserted dogmatically but is explained in its every feature by the light of reason. The atheist does not boast of knowing in a vainglorious, empty sense. He understands by knowledge the most reasonable and clear and sound position one can take on the basis of all the evidence at hand. This evidence convinces him that theism is not true, and his logical position, then, is that of atheism.

We repeat that the atheist is one who denies the assumptions of theism. he asserts, in other words, that he doesn't believe in a God because he has no good reason for believing in a God. That's atheism -- and that's good sense.”
― E. Haldeman-Julius, The meaning of atheism

“Obviously, if theism is a belief in a God and atheism is a lack of a belief in a God, no third position or middle ground is possible. A person can either believe or not believe in a God. Therefore, our previous definition of atheism has made an impossibility out of the common usage of agnosticism to mean 'neither affirming nor denying a belief in God.' Actually, this is no great loss, because the dictionary definition of agnostic is still again different from Huxley’s definition. The literal meaning of agnostic is one who holds that some aspect of reality is unknowable. Therefore, an agnostic is not simply someone who suspends judgment on an issue, but rather one who suspends judgment because he feels that the subject is unknowable and therefore no judgment can be made. It is possible, therefore, for someone not to believe in a God (as Huxley did not) and yet still suspend judgment (ie, be an agnostic) about whether it is possible to obtain knowledge of a God. Such a person would be an atheistic agnostic. It is also possible to believe in the existence of a force behind the universe, but to hold (as did Herbert Spencer) that any knowledge of that force was unobtainable. Such a person would be a theistic agnostic.”
― Gordon Stein

“The absence of theistic belief...

{Defining the word 'atheism'}”
― Joseph McCabe, A Rationalist Encyclopedia: a Book of Reference on Religion Philosophy Ethics and Science

“The Oracle pursued a logical course of confuting theism, and leaving 'a-theism' the negative result. It did not, in the absurd terms of common religious propaganda, 'deny the existence of God.' It affirmed that God was a term for an existence imagined by man in terms of his own personality and irreducible to any tenable definition. It did not even affirm that 'there are no Gods'; it insisted that the onus of proof as to any God lay with the theist, who could give none compatible with his definitions.”
― J.M. Robertson, A History Of Free Thought In The Nineteenth Century V1

“An atheist is a man who does not believe the existence of a God; now, no one can be certain of the existence of a being whom he does not conceive, and who is said to unite incompatible qualities.”
― Baron d'Holbach, The System of Nature