The core doctrine of ethical intuitionism is that some of our ethical knowledge is non-inferential. Against this, Sturgeon has recently objected that if ethical intuitionists accept a certain plausible rationale for the autonomy of ethics, then their foundationalism commits them to an implausible epistemology outside ethics. I show that irrespective of whether ethical intuitionists take non-inferential ethical knowledge to be a priori or a posteriori, their commitment to the autonomy of ethics and foundationalism does not entail any implausible non-inferential (...) knowledge in areas outside ethics (such as the past, the future, or the unobservable). However, each form of intuitionism does require a controversial stand on certain unresolved issues outside ethics. (shrink)

Dummett's case against platonism rests on arguments concerning the acquisition and manifestation of knowledge of meaning. Dummett's arguments are here criticized from a viewpoint less Davidsonian than Chomskian. Dummett's case against formalism is obscure because in its prescriptive considerations are not clearly separated from descriptive. Dummett's implicit value judgments are here made explicit and questioned. ?Combat Revisionism!? Chairman Mao.

As artificial intelligence (AI) continues to advance, one key challenge is ensuring that AI aligns with certain values. However, in the current diverse and democratic society, reaching a normative consensus is complex. This paper delves into the methodological aspect of how AI ethicists can effectively determine which values AI should uphold. After reviewing the most influential methodologies, we detail an intuitionist research agenda that offers guidelines for aligning AI applications with a limited set of reliable moral intuitions, each underlying a (...) refined cooperative view of AI. We discuss appropriate epistemic tools for collecting, filtering, and justifying moral intuitions with the aim of reducing cognitive and social biases. The proposed methodology facilitates a large collective participation in AI alignment, while ensuring the reliability of the considered moral judgments. (shrink)

Walter Sinnott-Armstrong has argued against moral intuitionism, according to which some of our moral beliefs are justified without needing to be inferred from any other beliefs. He claims that any prima facie justification some non-inferred moral beliefs might have enjoyed is removed because many of our moral beliefs are formed in circumstances where either (1) we are partial, (2) others disagree with us and there is no reason to prefer our moral judgement to theirs, (3) we are emotional in (...) a way that clouds our judgement, (4) the circumstances are conducive to illusion, or (5) the source of our moral beliefs is unreliable or disreputable. I take issue with the elements of Sinnott-Armstrong’s argument that centre on (1) to (3) and (5), concluding that his case against moral intuitionism is unpersuasive. (shrink)

Philosophers have in the past had difficulty in determining how to define ethical terms. here they are defined as open-context terms with a loosely limited range of substitution instances, in conformity with actual language usage. ethical terms are in themselves meaningless. it is a misuse to say, "x is wrong in itself." ethical terms then reduce to empirical terms concerning wants, likes, knowledge of cause and effect and consequences, knowledge of how ethical terms themselves work. ethical commands reduce to if-then (...) statements. blame may possibly never make sense. (shrink)

Dirk van Dalen’s biography studies the fascinating life of the famous Dutch mathematician and philosopher Luitzen Egbertus Jan Brouwer. Brouwer belonged to a special class of genius; complex and often controversial and gifted with a deep intuition, he had an unparalleled access to the secrets and intricacies of mathematics. Most mathematicians remember L.E.J. Brouwer from his scientific breakthroughs in the young subject of topology and for the famous Brouwer fixed point theorem. Brouwer’s main interest, however, was in the foundation of (...) mathematics which led him to introduce, and then consolidate, constructive methods under the name ‘intuitionism’. This made him one of the main protagonists in the ‘foundation crisis’ of mathematics. As a confirmed internationalist, he also got entangled in the interbellum struggle for the ending of the boycott of German and Austrian scientists. This time during the twentieth century was turbulent; nationalist resentment and friction between formalism and intuitionism led to the Mathematische Annalen conflict. It was here that Brouwer played a pivotal role. The present biography is an updated revision of the earlier two volume biography in one single book. It appeals to mathematicians and anybody interested in the history of mathematics in the first half of the twentieth century. (shrink)

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

The aim of this paper is to defend moral intuitionism, in its new formulations, against the criticism that there is something objectionably non-natural about its conception of moral properties. The force of this complaint depends crucially on what it means to be a non-natural property. I consider a number of ways of drawing the natural/non-natural distinction and argue that, once the notion of 'non-natural property' is sufficiently clarified, it fails to figure in a compelling argument against moral intuitionism.

In this article (1) I extract from Brentano’s works (three) formal arguments against “genealogical explanations” of ethical claims. Such explanation can also be designated as “naturalism” (not his appellation); (2) I counter these arguments, by showing how genealogical explanations of even apodictic moral claims are logically possible (albeit only if certain unlikely, stringent conditions are met); (3) I show how Nietzsche’s ethics meets these stringent conditions, but evolutionary ethics does not. My more general thesis is that naturalism and intuitionism (...) in ethics need not be mutually incompatible. (shrink)

When Heidegger insists that each of us is distinctive because “the most radical individuation” is both possible and necessary for us, he might mean: it is possible and necessary to be an individual in the most radical way; or it is possible and necessary to engage in the project of becoming a distinct individual in the most radical way; or it is possible and necessary to see the distinct individual that I am, and to do so in the most radical (...) way. Although all three readings are possible and defensible, I’d like to explore in this paper a -type reading of Heidegger’s claim. What would it mean to see the distinct individual that I am in the most radical way? (shrink)

The main aspect of the intuitionist ontology of mathematicsis the conception of mathematical objects as products of the human mind. This paper argues that so long as the existence of mathematical objects is made dependent on thehuman mind , the intuitionist ontology is refutable in that it is inconsistent with our well-confirmed beliefs about what is physically possible. At the same time, it is also argued that the intuitionistś attempt to remove this inconsistency by endowing the mind with various highly (...) idealized features and capacities will erase any significant ontological difference between Intuitionism and Platonism. (shrink)

This is a response by the author of Ethical Intuitionism to criticisms raised by Fred Seddon (Jars, Spring 2007). Among other things, Huemer observes that his attack on ethical reductionism does not depend upon excluding relational properties from consideration at the start; that he does not claim that all philosophers are intuitionists; and that Objectivism is susceptible to the general arguments he discusses against the possibility of deriving an "ought" from an "is".

According to Plato’s Apology of Socrates, a humanly wise person is distinguished by her ability to correctly assess the epistemic status and value of her beliefs. She knows when she has knowledge or has mere belief or is ignorant. She makes no unjustified knowledge claims and considers her knowledge to be limited in scope and value. This means: A humanly wise person is intellectually modest. However, when interpreted classically, Socratic wisdom cannot be modest. For in classical epistemic logic, modelling second-order (...) knowledge of knowing something or not, i.e. positive and negative introspection, requires a degree of self-transparency that would at most be attributed to an omniscient and infallible agent. If intellectual modesty is part of Socratic wisdom, we have to look for another epistemic model. I will offer three proposals and argue that an intuitionist reading of the classical concept of knowledge is best suited for this purpose. (shrink)

This book publishes for the first time notes from two notebooks of Gödel which formed the basis of a course on intuitionism Gödel delivered at Princeton in the.

This book defends a form of ethical intuitionism, according to which (i) there are objective moral truths; (ii) we know some of these truths through a kind of immediate, intellectual awareness, or "intuition"; and (iii) our knowledge of moral truths gives us reasons for action independent of our desires. The author rebuts all the major objections to this theory and shows that the alternative theories about the nature of ethics all face grave difficulties.

Over the course of human history there appears to have been a global shift in moral values towards a broadly ‘liberal’ orientation. Huemer argues that this shift better accords with a realist than an antirealist metaethics: it is best explained by the discovery of mind-independent truths through intuition. In this article I argue, contra Huemer, that the historical data are better explained assuming the truth of moral antirealism. Realism does not fit the data as well as Huemer suggests, whereas antirealists (...) have underappreciated resources to explain the relevant historical dynamics. These resources include an appeal to socialization, to technological and economical convergences, to lessons learned from history, to changes induced by consistency reasoning and to the social function of moral norms in overcoming some of the cooperation problems that globalizing societies face. I point out that the realist’s explanans has multiple shortcomings, that the antirealist’s explanans has several explanatory virtues, and conclude that the latter provides a superior account of the historical shift towards liberal values. (shrink)

Crispin Wright joins the ranks of those who have sought to refute mechanist theories of mind by invoking Gödel's Incompleteness Theorems. His predecessors include Gödel himself, J. R. Lucas and, most recently, Roger Penrose. The aim of this essay is to show that, like his predecessors, Wright, too, fails to make his case, and that, indeed, he fails to do so even when judged by standards of success which he himself lays down.