This article compares and contrasts the reception of Comte's positivism in the works of William Whewell, John Stuart Mill and (to a lesser extent) Franz Brentano. It is argued that Whewell's rejection of positivism derives from his endorsement of (what I shall call) a constructivist account of the inductive sciences, while Mill and Brentano's sympathies for positivism are connected to their endorsement of an empiricist account. The mandate of the article is to spell out the chief differences between these two rival accounts. In the last, conclusive section, Whewell's anti-positivist argument is briefly assessed, and rebutted.This article compares and contrasts the reception of Auguste Comte's positivism in the works of William Whewell, John Stuart Mill and (to a lesser extent) Franz Brentano. Admittedly, the central tenet of positivism is that positive sciences aim at discovering the laws of phenomena, that is, the "invariable relations of succession and resemblance" thereof -and nothing more (Comte 1852, 1:15; 1896, 1:2). This view has not been equally well received in British philosophy. While Mill, after Herbert Spencer, deems Comte's lectures on Positive Philosophy "an essentially sound view of philosophy, with a few capital errors" (Mill 1865; 1985, 265), Whewell rejects positivism outright and maintains that Comte's "opinions on the philosophy and history of sciences" are "of no value" (Whewell 1866, 353). A few years later, Brentano, in his well-known Chilianeum article, takes sides with Mill and readily states that "there is perhaps no other philosopher in recent times so highly deserving our attention as Comte himself" (Brentano 1869; 1926, 99) 1 .The goal of the present study is to understand the main rationales behind these diverging assessments. I argue that the latter are best explained in light of the substantial disagreement betweenWhewell and Mill-Brentano on the nature of induction and the inductive sciences. Whereas these three authors lay stress on the importance of collecting facts and ascending from there to general propositions, they disagree on how the inductive scientist builds up his/her theories. Very roughly put, Whewell's rejection of positivism mainly derives from his endorsement of (what I shall call) a constructivist account of the inductive sciences, while Mill and Brentano's sympathies for positivism1 For a recent reconstruction of Comte's influence on Brentano, see (Fisette 2018). See also (Schmit 2002).