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Aleatoric Propositions: Reasoning About Coins
Aleatoric propositions are a generalisation of Boolean propositions, that are intrinsically probabilistic, or determined by the toss of a (biased)... -
On the Logic of Belief and Propositional Quantification
We consider extending the modal logic KD45, commonly taken as the baseline system for belief, with propositional quantifiers that can be used to...
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Grzegorczyk and Whitehead Points: The Story Continues
The paper is devoted to the analysis of two seminal definitions of points within the region-based framework: one by Whitehead (1929) and the other by...
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Boolean product representations of algebras via binary polynomials
We mimick the construction of guard algebras and show how to extract a Church algebra out of the binary functions on an arbitrary algebra, containing... -
Identity and Aboutness
This paper develops a theory of propositional identity which distinguishes necessarily equivalent propositions that differ in subject-matter. Rather...
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Conservative Expansions of Substructural Logics
In this paper we investigate several conservative expansions of substructural logics, and of fuzzy logics in particular. The most important are the... -
Finite Additivity, Complete Additivity, and the Comparative Principle
In the longstanding foundational debate whether to require that probability is countably additive, in addition to being finitely additive, those who...
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On informational injustice and epistemic exclusions
Information is a unique resource. Asymmetries that arise out of information access or processing capacities, therefore, enable a distinctive form of...
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Dynamic Contact Algebras with a Predicate of Actual Existence: Snapshot Representation and Topological Duality
The paper is in the field of region-based theory of space and time (RBTST). This is an extension of the region-based theory of space (RBTS) with... -
A Few Historical Glimpses into the Interplay Between Algebra and Logic and Investigations into Gautama Algebras
This chapter consists of two parts. PART I presents a few historical glimpses into the fascinating interplay between algebra and logic that... -
A Few Historical Glimpses into the Interplay Between Algebra and Logic and Investigations into Gautama Algebras
This chapter consists of two parts. PART I presents a few historical glimpses into the fascinating interplay between algebra and logic that... -
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Random World and Quantum Mechanics
Quantum mechanics (QM) predicts probabilities on the fundamental level which are, via Born probability law, connected to the formal randomness of...
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Bddl: A Type System for Binary Decision Diagrams
Binary Decision Diagrams (BDDs) are compact data structures used to efficiently store and process boolean functions. BDDs have many uses, from system... -
On the Semilattice of Modal Operators and Decompositions of the Discriminator
We investigate the join semilattice of modal operators on a Boolean algebra B. Furthermore, we consider pairs... -
A Cook’s Tour of Duality in Logic: From Quantifiers, Through Vietoris, to Measures
We identify and highlight certain landmark results in Samson Abramsky’s work which we believe are fundamental to current developments and future...