This paper is the twin of (Duží and Jespersen, in submission), which provides a logical rule for transparent quantification into hyperprop- ositional contexts de dicto, as in: Mary believes that the Evening Star is a planet; therefore, there is a concept c such that Mary be- lieves that what c conceptualizes is a planet. Here we provide two logical rules for transparent quantification into hyperpropositional contexts de re. (As a by-product, we also offer rules for possible- world propositional contexts.) One (...) rule validates this inference: Mary believes of the Evening Star that it is a planet; therefore, there is an x such that Mary believes of x that it is a planet. The other rule validates this inference: the Evening Star is such that it is believed by Mary to be a planet; therefore, there is an x such that x is believed by Mary to be a planet. Issues unique to the de re variant include partiality and existential presupposition, sub- stitutivity of co-referential (as opposed to co-denoting or synony- mous) terms, anaphora, and active vs. passive voice. The validity of quantifying-in presupposes an extensional logic of hyperinten- sions preserving transparency and compositionality in hyperinten- sional contexts. This requires raising the bar for what qualifies as co-denotation or equivalence in extensional contexts. Our logic is Tichý’s Transparent Intensional Logic. The syntax of TIL is the typed lambda calculus; its highly expressive semantics is based on a procedural redefinition of, inter alia, functional abstraction and application. The two non-standard features we need are a hyper- intension (called Trivialization) that presents other hyperintensions and a four-place substitution function (called Sub) defined over hy- perintensions. (shrink)

The paper solves the problems connected with the occurrences of expressions in the de re or de dicto supposition. It is shown that some expressions, e.g. definite descriptions, that are seemingly ambiguous are in no way ambiguous, they denote in all the contexts one and the same “thing” and have a precise definite meaning which is best explicated by the TIL logical construction. What differs is only the supposition in which they occur. The precise definition of the distinction between de (...) re, de dicto occurrence is provided, and using this definition four kinds of problems are analysed, namely de re / de dicto using definite descriptions , sentences , definite descriptions in notional attitudes, and embedded sentences in propositional attitudes. The paper provides a certain adjustment and correction of Tichý’s approach to the problem. (shrink)

The paper completes a “serial” of my contributions to the hot problems of current semantics, i.e. propositional / notional attitudes, de dicto / de re, synonymy, homonymy, equivalence, meaning, sense, denotation, reference. Two kinds of believing, knowing, etc. are distinguished, namely implicit believing of an ideal believer and explicit believing of a logical / mathematical ignorant . A special case of a week, hidden homonymy is considered and we show that when claiming two expressions being synonymous we have to be (...) careful, for a more fine-grained analysis may reveal that there is a semantic difference between them. The distinction between de dicto / de re supposition is defined and a special case of ‘existence’ being de dicto / de re is solved. (shrink)

Our knowledge, beliefs, doubts, etc., concern primarily logical constructions of propositions. If we assume that iterating ‘belief attitudes’ is valid, i.e., that the agent is perfectly introspective, he knows what he knows, believes, etc., then the so-called propositional attitudes are actually hyperintensional attitudes, i.e., they are relations of an agent to the construction–concept expressed by the embedded clause. Their implicit counterparts, relations of an agent to the proposition denoted by the embedded clause, are just idealised cases of an agent with (...) unlimited inferential abilities. On the other hand, our wishes, intentions, seeking, finding, etc., concern particular intensions, and the so-called notional attitudes are not hyperintensional. In the paper we formulate some criteria for notional attitudes and examine basic categories of them. In general, notional attitudes are relations-in-intension between an agent and an object to which the agent is intentionally related. Even relations of an agent to a proposition can be notional ones, in case there is no salient constructional counterpart, the attitude is not influenced by agent’s inferential abilities. Another problem we meet is the ambiguity of sentences expressing notional attitudes. These statements can often be read both in the de dicto and in the de re way. Yet, a common feature that characterizes notional attitudes is using the construction of the respective intension in the de dicto way. The respective intension is mentioned; referring on such a situation, the reporter may use any of the equivalent constructions of the intension, but not just a co-referring notion of another intension. Still, unlike the cases of relations of an agent to an individual when the respective individual office serves just as a pointer to the individual, when referring on notional attitudes the use of the respective notion of the intension is indispensable, which might perhaps justify calling such attitudes notional, though they actually are intensional. We also show that a passive form of a sentence cannot be usually read in the de dicto way. Thus a common belief at the equivalence of the active and passive form of a statement is generally not justified. (shrink)

In the paper we offer a logical explication of the frequently used, but rather vague, notion of point of view. We show that the concept of point of view prevents certain paradoxes from arising. A point of view is a means of partial characterisation of something. Thus nothing is a P and at the same time a non-P, because it is a P only relative to some point of view and a non-P from another point of view. But there is (...) a major, complicating factor involved in applying a logical method that is supposed to provide a formal and rigorous counterpart of the intuitively understood notion: ‘point of view’ is a homony-mous expression, and so there is not just one meaning that would explain points of view. Yet we propose a common scheme of the logical type of the entities denoted by the term ‘point of view’. It is an empirical function: when applied to the viewed object in question, it results in a evaluating proposition about the object. If there is an agent applying the criterion, the result is the agent’s attitude to the respective object. The paper is organised into two parts. In Part I we first adduce and analyse various examples of typical cases of applying a point of view to prevent paradox. These cases are examined according to the type of the viewed object: a) the viewed object is an individual and b) the viewed object is a property or an office. In Part II we then show that the method described in Part I can be applied also to the analyses of agents’ attitudes. We thus explain how an agent can believe of something that it is a P and at the same time a non-P: the agent applies different viewpoint criteria to the viewed object. The inversion of perspective consisting in the perspective shifting from the believer on to the reporter in the case of attitudes de re, and from the reporter to the believer in the case of attitudes de dicto, is also analyzed. We show that there is no smooth logical traffic back and forth between such attitudes and prove that they are not equivalent. By way of conclusion, we explicate the notion of conceptual point of view and analyze cases of viewpoints given by conceptual distinction. We show, finally, that the proposed scheme of the type of point of view can be preserved, this time, however, in its extensional version. (shrink)