As with many mathematical concepts these axioms are chosen to ensure that two things are equal if and only if some property expressible in terms of the concept holds. For a metric space, x = y if and only if d(x, y) = 0. Thus as there is the equality relation x = y in a metric space, so there is what we call an indistancy relation d(x, y) = 0. Axioms M1 and M2 work together to identify equality...

The will to have freedom and experience equality in learning form a vital relation our capacity make choices life. This article offers comparison between Sartre Rancière that is new the field of research education contributes an argument for relational philosophy equality. Existentialist insights into how we world through affect embodied intelligence are raised this exploration contemporary sig...

Let $E$ be a countable Borel equivalence relation on the space $\mathcal {E}_{\infty }$ of all infinite partitions natural numbers. We show that coincides with equality below Carlson–Simpson generic element }$. In con

Within the United Kingdom (UK), many of arguments driving devolution and Brexit focused on equality. This article assesses how notions equality have been shaped over past two decades. Using a chronology theoretical, political public interpretations between 1998 2018, highlights shifting positions Northern Ireland (NI) rest UK. NI once led way in relation to legislation, was cornerstone Good Fri...

We present a non-commutative linear logic | the logic of predicates with equality and explicit substitutions. Thus, the position of linear logic with respect to the usual logic is given a new explanation. 1 The world according to Girard A recent introduction to linear logic, cf. 13], starts with the following explanation of the position of usual logic with respect to the linear. Linear logic is...

This paper provides a lexical entry schema for exclusives covering the adverbs only, just, exclusively, merely, purely, solely, simply, and the adjectives only, sole, pure, exclusive and alone. We argue, on the basis of inter-paraphrasability relations among these exclusives and entailments involving at least and at most, that all of these items make an at-issue contribution of an upper bound o...