The Definition of Religion, Super-empirical Realities and Mathematics

2016 ◽  
Vol 58 (1) ◽  
Author(s):  
Andrea Sauchelli
Keyword(s):  
Necessary Conditions ◽  
Philosophy Of Mathematics ◽  
Precise Definition ◽  
Mathematical Realism ◽  
Sufficient And Necessary Conditions ◽  
Definition Of Religion ◽  
And Mathematics ◽  
Definition Of

SummaryProviding a precise definition of “religion” – or an analysis in terms of sufficient and necessary conditions of the concept of religion – has proven to be a difficult task, more so in light of the diverse types of practices considered religious by scholars. Here, I discuss Kevin Schilbrack’s recent definition of “religion”, elaborate it and raise several objections, one of which is based on a specific theory in philosophy of mathematics: mathematical realism.

Conditions for Fractal Dimension Estimate Model of Spatial Objects and a Case Study

2012 ◽  
Vol 538-541 ◽  
pp. 754-757
Author(s):  
Bin Li ◽  
Ming Xia Xu ◽  
Yong Long Xu ◽  
Shi Hang Li
Keyword(s):  
Fractal Dimension ◽  
Necessary Conditions ◽  
Dimension Estimate ◽  
Spatial Objects ◽  
Sufficient And Necessary Conditions ◽  
Definition Of

This paper, starting from the concept and definition of fractal dimension, discussed the properties and established the sufficient and necessary conditions of the fractal dimension estimate model of spatial objects such as lines, facets and volumes. Based on the conditions, we put forward a fractal dimension estimate model for linear spatial objects, and verified the rationality and validity of the model for linear objects’ fractal calculation.

scholarly journals Rudin synthesis on homogeneous Banach algebras

1980 ◽  
Vol 29 (4) ◽  
pp. 407-416
Author(s):  
Rong-Song Jih ◽  
Hwai-Chiuan Wang
Keyword(s):  
Banach Algebra ◽  
Necessary Conditions ◽  
Banach Algebras ◽  
Closed Ideal ◽  
Closed Subalgebra ◽  
Sufficient And Necessary Conditions ◽  
Definition Of ◽  
Closed Subalgebras

AbstractThe main results of this article are (I) Let B be a homogeneous Banach algebra, A a closed subalgebra of B, and I the largest closed ideal of B contained in A. We assert that for some closed subalgebra J of B. Furthermore, under suitable conditions, we show that A is an R-subalgebra if and only if J is an R-subalgebra. A number of concrete closed subalgebras of a homogeneous Banach algebra therefore are R-subalgebras. For the definition of P(A) and that of an R-subalgebra, see the introduction in Section 1. (II) We give sufficient and necessary conditions for a closed subalgebra of Lp(G), 1 ≦ p ≦ ∞, to be an R-subalgebra.

Study on Estimate Model of Linear Objects’ Fractal Dimension

2012 ◽  
Vol 538-541 ◽  
pp. 1011-1014
Author(s):  
Bin Li ◽  
Yong Long Xu ◽  
Ming Xia Xu ◽  
Shi Hang Li
Keyword(s):  
Fractal Dimension ◽  
Necessary Conditions ◽  
Dimension Estimate ◽  
Sufficient And Necessary Conditions ◽  
Definition Of

This paper, based on the concept and definition of fractal dimension, discussed the properties of the linear objects’ fractal dimension estimate model, and established its sufficient and necessary conditions of linear objects’ fractal, and put forward a kind of linear objects’ fractal estimate model, and verified the rationality and validity of the model for linear objects’ fractal calculation.

scholarly journals A Metaphysics for Mathematical and Structural Realism

2019 ◽  
Vol 2 (1) ◽  
pp. 75-89
Author(s):  
Adam InTae Gerard
Keyword(s):  
Scientific Realism ◽  
Philosophy Of Mathematics ◽  
Structural Realism ◽  
Ontic Structural Realism ◽  
Mathematical Realism ◽  
Ante Rem Structuralism ◽  
And Mathematics ◽  
Mathematics And Science

The goal of this paper is to preserve realism in both ontology and truth for the philosophy of mathematics and science. It begins by arguing that scientific realism can only be attained given mathematical realism due to the indispensable nature of the latter to the prior. Ultimately, the paper argues for a position combining both Ontic Structural Realism and Ante Rem Structuralism, or what the author refers to as Strong Ontic Structural Realism, which has the potential to reconcile realism for both science and mathematics. The paper goes on to claims that this theory does not succumb to the same traditional epistemological problems, which have damaged the credibility of its predecessors.

Initial Polymerization Sites Indicated During Mitochondrial Oxidation of Diaminobenzidine after Toluene Treatment

1977 ◽  
Vol 35 ◽  
pp. 408-409
Author(s):  
W. A. Shannon ◽  
M. A. Matlib
Keyword(s):  
Membrane Permeability ◽  
Cytochrome Oxidase ◽  
Rat Liver ◽  
Precise Definition ◽  
Cytochemical Localization ◽  
Oxidative Reaction ◽  
Mitochondrial Oxidation ◽  
Definition Of ◽  
Exogenous Substrates

Numerous studies have dealt with the cytochemical localization of cytochrome oxidase via cytochrome c. More recent studies have dealt with indicating initial foci of this reaction by altering incubation pH (1) or postosmication procedure (2,3). The following study is an attempt to locate such foci by altering membrane permeability. It is thought that such alterations within the limits of maintaining morphological integrity of the membranes will ease the entry of exogenous substrates resulting in a much quicker oxidation and subsequently a more precise definition of the oxidative reaction.The diaminobenzidine (DAB) method of Seligman et al. (4) was used. Minced pieces of rat liver were incubated for 1 hr following toluene treatment (5,6). Experimental variations consisted of incubating fixed or unfixed tissues treated with toluene and unfixed tissues treated with toluene and subsequently fixed.

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