Jonathan Westphal

We provide a study of Russell’s argument (in _An Inquiry into Meaning and Truth_) against naive realism in which we distinguish five different forms of the argument. We agree with McLendon’s (1956) criticism, that Russell’s premiss that naive realism _leads to physics_ (our emphasis) is ambiguous as between “leads historically or psychologically” and “leads logically”. However, physics does logically lead to naive realism, in the sense that it presupposes it. In that case it is physics that is false. There is also the possibility that physics and naive realism are compatible, and that possibility obtains if phenomenalism is true.

In ‘Concerning the Absurdity of Life’ Quentin Smith accuses us of contradicting ourselves in our argument against Thomas Nagel. On the one hand we said that Mozart's Piano Concerto No. 23 is not ‘insignificant’ compared with cosmic radiation. On the other we said that the life of a man of integrity or humanity could be lived without a formal claim to Value, so that there was nothing for Nagel's external perspective to negate. But where is the contradiction? We put ‘emotional value’, used of Mozart's concerto, in scare quotes, to show that we disapproved of the phrase, and we also called the emotional value ‘so-called’ with the same intention. What we said about the life of the man of integrity, as we characterized it, was that no formal claim about Value was made for it—note the capital V. ‘Formal’ was meant to make the same point. We meant neither to assert nor to deny that Value was objectively present in the concerto. If we had asserted it, that would have meant that the concerto was no good. If we had denied it, that would have committed us to a styptic view of what it would be for it to be false that it was no good. Also not wanted was to understand how music has a value, for example in education. Smith did not see that we were gunning for just the kind of analysis he gives of integrity and humanity. Hence that capital V in our reference to ‘Value’. It was meant ironically. Is a man's integrity ‘living by his values’, as Smith says, or is ‘humanity’, as we used it, ‘respecting the value of other human beings’? Integrity is surely, as the OED says, more a certain kind of unbrokenness or wholeness, being uncorrupted, even sinless, or innocent. The OED rightly makes no mention of values. Nor does it mention them under ‘humanity’: kindness, benevolence, humaneness, ‘traits or touches of human nature or feeling; points that appeal to man’. It is not true, let alone analytically true, as Smith says, that the notions of integrity and humanity involve value.

I discuss an argument for Leibniz’s principle of sufficient reason, the argument that he gives from considerations about necessary and sufficient conditions. I consider two versions that Leibniz offers, a longer and a shorter one. I also wish to assess a criticism of the longer version of Leibniz’s argument made by the distinguished Leibniz scholar Robert Merrihew Adams in 1994. Adams claims that Leibniz’s argument for the principle of sufficient reason begs the question. A simple formalization of the argument in propositional logic shows that this is not the case, but reveals two further difficulties. The first difficulty (a) has to do with the apparent failure of the derivation of the principle that the existence of the “aggregate” of the necessary conditions for the existence of a thing implies the existence of the sufficient conditions. The second difficulty (b) is that Leibniz’s second premise plays no obvious role in his derivation. I try to solve these problems, on his behalf.

In the very early Notebooks 1914‐1916, Ludwig Wittgenstein's principal interests were in logic, but his remarks are scattered through with occasional observations or sequences of observations about epistemology, solipsism, life, and other metaphysical subjects. The Tractatus was published in 1921. Here, as in the Notebooks, Wittgenstein is convinced that there must be elementary propositions, propositions that cannot be analyzed, because they are not composed by applying truth functions to other propositions. The metaphysical structure of the Tractatus began to disintegrate, however, when Wittgenstein realized, as he reported in “Some Remarks on Logical Form”, that he could not analyze propositions about colors as statements of degree. Wittgenstein had begun to replace the idea of a logical space with “logical grammar”, a conception that was in turn destined to be replaced by “language‐games”. He wrote, “The colour octahedron is grammar, since it says that you can speak of a reddish blue but not a reddish green, etc”.

Das „Problem der Induktion", dessen Formulierung man gewöhnlich David Hume zuschreibt, hat Leibniz schon am Anfang des 18. Jahrhunderts formuliert und gelöst. Die Methode von Leibniz war sowohl „Hume-isch" als auch rationalistisch. Sie begreift in sich eine Herabsetzung des Empirischen und auch den Gebrauch der „Geheimkräfte", die Hume ausschalten wollte. Ohne solche „Geheimkräfte" gibt es keine Harmonie im klassischen Sinn von Leibniz . Für Leibniz ist eine Hypothese vorzuziehen, die eine Harmonie behauptet oder die maximale Verschiedenheit der Phänomene mit der minimalen Kompliziertheit der zugrundeliegenden Regel zusammenfaßt. Hier sind Beispiele von Gesetzen mit „produktiven Mechanismen" oder „Geheimkräften" gegeben, die der Leibnizschen Erklärung in der Physik und der Mathematik entsprechen. Die Schwerkraft entspricht diesen Gesichtspunkten nicht und ist daher unvernünftig im Leibnizschen Sinne; deshalb werden Induktionen über Schwerkraftsysteme als empirische Regeln betrachtet. Die Leibnizsche Theorie zeigt auch, wie man die wohlbekannten Beispiele von Hume erkennen und vorhersagen kann, nämlich aufgrund des richtigen wissenschaftlichen Verständnisses der Natur der Nahrung und des Feuers. Kants Prinzip der zeitlichen Reihenfolge wird zu seinen Ungunsten mit dem sechsten Grundsatz der Leibnizschen Abhandlung über die Metaphysik verglichen. Wir haben nach Leibniz doch einen vernünftigen Zugang zu der Wirklichkeit, die hinter den Empfindungen liegt, und die Verneinung dessen war es, was das empiristische Problem der Induktion erzeugt hat. Das Problem der Induktion ist ein reductio ad absurdum des Empirismus