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The phrase "analogous reasoning" is correct and usable in written English.
It can be used when discussing a method of reasoning that draws parallels between similar situations or concepts to draw conclusions.
Example: "In her argument, she employed analogous reasoning to illustrate how the two cases were alike, leading to a similar outcome."
Alternatives: "comparative reasoning" or "similar reasoning".
Exact(24)
With an analogous reasoning we obtain the following theorem.
It is obvious that analogous reasoning applies in the case where w22 > w12 > w11.
Analogous reasoning goes for m ( B − 1 ) > 0, which proves the claim.
By analogous reasoning, one shows the existence of the smallest solution of (5.1).
(c) If s − = 0, then analogous reasoning as in (b) goes for element ( x − y ) ∗. Case II.B.
(Analogous reasoning allows one to move from Priority pluralism (partial) to the further claim that the cosmos depends on its proper parts).
Similar(36)
Properly applied, a causal relation template, developed based on Gentner's framework of analogical reasoning, decreased participants' non-analogous concepts.
Two doctrines or sets of facts are not analogous in the abstract, but in the context of a legal issue.[17] Two questions arise about analogical reasoning.
For this reason we have so far chosen methods that could be seen as analogous to clinical reasoning (KNN) or that could identify prototypical cases that could aid interpretation (SVM).
The idea of the logos in Greek thought harks back at least to the 6th-century-bc philosopher Heracleitus, who discerned in the cosmic process a logos analogous to the reasoning power in man.
The villagers gave overall analogous ranking and reasoning.
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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