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And if we're not willing to accept that implication, it seems as though we need to reject "the soul theory of personal identity". Now, I use this cumbersome phrase because, of course, I'm not here talking about rejecting the existence of souls.
A non-concessive response is one intended to rebut the challenge, e.g., by rejecting the existence of a common or universal truth property.
How is it that medieval philosophers maintain a form of realism about relations while at the time rejecting the existence of polyadic properties?
For while consistently rejecting the existence of influx, sometimes Leibniz will not at the same time reject outright the existence of intersubstantial causation.
Schlick represented Gestalt theory as psychology within the reductive framework of physicalism, that is, rejecting the existence of autonomous entities, laws and methods of psychology.
Such classical approaches tend to respond to Curry's paradox in the same fashion — by rejecting the existence of Curry sentences or fiddling with the unrestricted T-schema (or naive abstraction).
Similar(51)
The data strongly reject the existence of such excess gains.
So it makes sense that Jews reject the existence of hell by an 80/20 split.
Manouras rejected the existence of "pockets of fascism" within the force and said no unlawful behaviour would be tolerated.
Eventually, aided by the Communist philosopher and ideologue Issak Prezent, he rejected the existence of genes entirely.
But it rejects the existence of a conflict of interest involving the shares it holds for clients and the fees it earns from managing large accounts for corporations.
More suggestions(15)
acknowledging the existence
restricting the existence
denying the existence
opposing the existence
dismissing the existence
rejects the existence
rejecting the status
rejecting the imposition
rejecting the paper
rejecting the workplace
rejecting the role
rejecting the kidney
rejecting the offer
rejecting the transplant
rejecting the invitation
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com