Synthese, ISSN 0039-7857, 3/2014, Volume 191, Issue 5, pp. 989 - 1012

In this paper I argue that de Finetti provided compelling reasons for rejecting countable additivity. It is ironical therefore that the main argument advanced...

Betting | Mathematical theorems | Algebra | Conditional probabilities | Axioms | Dutch book argument | Sigma additivity | Lotteries | Paradoxes | Probabilities | Philosophy of Science | Philosophy of Language | Finite additivity | Epistemology | de Finetti | Coherence | Metaphysics | Infinite lotteries | Logic | Conditionalisation | Philosophy | PHILOSOPHY | HISTORY & PHILOSOPHY OF SCIENCE | Probability | Addition & subtraction

Betting | Mathematical theorems | Algebra | Conditional probabilities | Axioms | Dutch book argument | Sigma additivity | Lotteries | Paradoxes | Probabilities | Philosophy of Science | Philosophy of Language | Finite additivity | Epistemology | de Finetti | Coherence | Metaphysics | Infinite lotteries | Logic | Conditionalisation | Philosophy | PHILOSOPHY | HISTORY & PHILOSOPHY OF SCIENCE | Probability | Addition & subtraction

Journal Article

2.
Full Text
Non-additivity between substitution and cooperative effects in enhancing hydrogen bonds

The Journal of chemical physics, ISSN 0021-9606, 12/2014, Volume 141, Issue 24, p. 244305

Ternary systems XO2F:NCH:NCY and XO2F:CNH:CNY (X = P and As; Y = H and Li) as well as the corresponding binary ones were studied at the MP2/aug-cc-pVTZ level....

PNICOGEN BONDS | CAMBRIDGE STRUCTURAL DATABASE | HYDRIDE INTERACTION | SIGMA-HOLE | CENTER-DOT-O | TRIMERS INVOLVING HCN | AB-INITIO | METHYL-GROUP | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | DONOR-ACCEPTOR | INTERMOLECULAR INTERACTIONS | Ions - chemistry | Lithium Compounds - chemistry | Vibration | Hydrogen Bonding | Lithium - chemistry | Models, Chemical | Static Electricity | Electrons | Substitutes | Polarization | Hydrogen-based energy | Hydrogen bonds | Lewis base | Ternary systems

PNICOGEN BONDS | CAMBRIDGE STRUCTURAL DATABASE | HYDRIDE INTERACTION | SIGMA-HOLE | CENTER-DOT-O | TRIMERS INVOLVING HCN | AB-INITIO | METHYL-GROUP | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | DONOR-ACCEPTOR | INTERMOLECULAR INTERACTIONS | Ions - chemistry | Lithium Compounds - chemistry | Vibration | Hydrogen Bonding | Lithium - chemistry | Models, Chemical | Static Electricity | Electrons | Substitutes | Polarization | Hydrogen-based energy | Hydrogen bonds | Lewis base | Ternary systems

Journal Article

Philosophical Studies: An International Journal for Philosophy in the Analytic Tradition, ISSN 0031-8116, 4/2014, Volume 168, Issue 3, pp. 619 - 628

This paper proves that certain supertasks constitute counterexamples to countable additivity even in the frame of an objective (not subjective, à la de...

Integers | Ambivalence | Conditional probabilities | Infinity | Reasoning | Sigma additivity | Lotteries | Paradoxes | Probabilities | Ethics | Philosophy of Language | Countable additivity | Epistemology | Probability | Philosophy of Mind | Metaphysics | Supertasks | Philosophy | LOTTERY | PHILOSOPHY

Integers | Ambivalence | Conditional probabilities | Infinity | Reasoning | Sigma additivity | Lotteries | Paradoxes | Probabilities | Ethics | Philosophy of Language | Countable additivity | Epistemology | Probability | Philosophy of Mind | Metaphysics | Supertasks | Philosophy | LOTTERY | PHILOSOPHY

Journal Article

Philosophical Review, ISSN 0031-8108, 2010, Volume 119, Issue 4, pp. 411 - 447

This essay argues that there is a conflict between the principle of Countable Additivity and standard views of how we should update centered or beliefs. The...

Theory and Philosophy | Logic | Mathematics | Beauty | Integers | Betting | Ambivalence | Bookmaking | Logical givens | Philosophical analysis | Dutch book argument | Information relevance | Sigma additivity | ODDS | PROBABILITY | SELF-LOCATING BELIEF | EVIL | PHILOSOPHY | FINETTI | Rationalism | Additive functions | Usage | Analysis | Geometric probabilities | Probabilities | Combinatorial probabilities

Theory and Philosophy | Logic | Mathematics | Beauty | Integers | Betting | Ambivalence | Bookmaking | Logical givens | Philosophical analysis | Dutch book argument | Information relevance | Sigma additivity | ODDS | PROBABILITY | SELF-LOCATING BELIEF | EVIL | PHILOSOPHY | FINETTI | Rationalism | Additive functions | Usage | Analysis | Geometric probabilities | Probabilities | Combinatorial probabilities

Journal Article

Philosophical Studies: An International Journal for Philosophy in the Analytic Tradition, ISSN 0031-8116, 12/2012, Volume 161, Issue 3, pp. 381 - 390

This paper defends the claim that there is a deep tension between the principle of countable additivity and the one-third solution to the Sleeping Beauty...

Beauty | Integers | Ambivalence | Memory interference | Travelers | Information relevance | Sigma additivity | Relevant alternatives | Objective beauty | Truth | Ethics | Philosophy of Language | Countable additivity | Epistemology | Sleeping Beauty problem | Indifference principles | Brian Weatherson | Metaphysics | Philosophy of Mind | Self-locating belief | Philosophy | PHILOSOPHY | Belief & doubt

Beauty | Integers | Ambivalence | Memory interference | Travelers | Information relevance | Sigma additivity | Relevant alternatives | Objective beauty | Truth | Ethics | Philosophy of Language | Countable additivity | Epistemology | Sleeping Beauty problem | Indifference principles | Brian Weatherson | Metaphysics | Philosophy of Mind | Self-locating belief | Philosophy | PHILOSOPHY | Belief & doubt

Journal Article

The British Journal for the Philosophy of Science, ISSN 0007-0882, 3/2008, Volume 59, Issue 1, pp. 1 - 23

Many people believe that there is a Dutch Book argument establishing that the principle of countable additivity is a condition of coherence. De Finetti himself...

Additivity | Betting | Probability distributions | Axioms | Dutch book argument | Sigma additivity | Finite sums | Kolmogorovs axioms | Lotteries | Probabilities | HISTORY & PHILOSOPHY OF SCIENCE | PROBABILITY

Additivity | Betting | Probability distributions | Axioms | Dutch book argument | Sigma additivity | Finite sums | Kolmogorovs axioms | Lotteries | Probabilities | HISTORY & PHILOSOPHY OF SCIENCE | PROBABILITY

Journal Article

The British Journal for the Philosophy of Science, ISSN 0007-0882, 9/1999, Volume 50, Issue 3, pp. 401 - 416

While there are several arguments on either side, it is far from clear as to whether or not countable additivity is an acceptable axiom of subjective...

Uniforms | Betting | Probability distributions | Axioms | Dutch book argument | Sigma additivity | Philosophical axioms | Paradoxes | Uniformity | Probabilities | PRIORS | HISTORY & PHILOSOPHY OF SCIENCE | Probabilistic number theory | Research

Uniforms | Betting | Probability distributions | Axioms | Dutch book argument | Sigma additivity | Philosophical axioms | Paradoxes | Uniformity | Probabilities | PRIORS | HISTORY & PHILOSOPHY OF SCIENCE | Probabilistic number theory | Research

Journal Article

The British Journal for the Philosophy of Science, ISSN 0007-0882, 6/2004, Volume 55, Issue 2, pp. 301 - 321

De Finetti would claim that we can make sense of a draw in which each positive integer has equal probability of winning. This requires a uniform probability...

Integers | Betting | Probability distributions | Quotients | Dutch book argument | Sigma additivity | Lotteries | Philosophical axioms | Paradoxes | Probabilities | HISTORY & PHILOSOPHY OF SCIENCE | PROBABILITY | Evaluation | Usage | Empiricism | Combinatorial probabilities

Integers | Betting | Probability distributions | Quotients | Dutch book argument | Sigma additivity | Lotteries | Philosophical axioms | Paradoxes | Probabilities | HISTORY & PHILOSOPHY OF SCIENCE | PROBABILITY | Evaluation | Usage | Empiricism | Combinatorial probabilities

Journal Article

Acta Polytechnica Hungarica, ISSN 1785-8860, 2014, Volume 11, Issue 4, pp. 79 - 100

This paper proposes a new formalization of the classical probability-possibility relation, which is further confirmed as a much complex, but natural...

Biometrics | Negation | Riemann integrability | Probability | Possibility | Reachability | S -additivity | Principle of possibility-probability consistency | Fuzzy membership | Provability | Consistent experimental frameworks | Turing test | Iris recognition | negation | probability | provability | sigma -additivity | biometrics | ENGINEERING, MULTIDISCIPLINARY | fuzzy membership | reachability | iris recognition | possibility | principle of possibility-probability consistency | consistent experimental frameworks

Biometrics | Negation | Riemann integrability | Probability | Possibility | Reachability | S -additivity | Principle of possibility-probability consistency | Fuzzy membership | Provability | Consistent experimental frameworks | Turing test | Iris recognition | negation | probability | provability | sigma -additivity | biometrics | ENGINEERING, MULTIDISCIPLINARY | fuzzy membership | reachability | iris recognition | possibility | principle of possibility-probability consistency | consistent experimental frameworks

Journal Article

Philosophical Studies: An International Journal for Philosophy in the Analytic Tradition, ISSN 0031-8116, 3/2013, Volume 163, Issue 2, pp. 503 - 512

In two excellent recent papers, Jacob Ross has argued that the standard arguments for the 'thirder' answer to the Sleeping Beauty puzzle lead to violations of...

Sigma additivity | Equivocation | Metaphysics | Inadmissible evidence | Fregean content | Eschatology | Ethics | Philosophy of Language | Countable additivity | Epistemology | Philosophy of Mind | Sleeping beauty | Ross | Philosophy | PHILOSOPHY | Personal appearance | Probability | Generalization

Sigma additivity | Equivocation | Metaphysics | Inadmissible evidence | Fregean content | Eschatology | Ethics | Philosophy of Language | Countable additivity | Epistemology | Philosophy of Mind | Sleeping beauty | Ross | Philosophy | PHILOSOPHY | Personal appearance | Probability | Generalization

Journal Article

Annals of Pure and Applied Logic, ISSN 0168-0072, 04/2020, Volume 171, Issue 4, p. 102755

We study propositional probabilistic logics (LPP–logics) with probability operators of the form P≥r (“the probability is at least r”) with σ–additive...

Probability logic | Completeness | Sigma-additivity

Probability logic | Completeness | Sigma-additivity

Journal Article

International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems, ISSN 0218-4885, 12/2015, Volume 23, pp. 57 - 74

Generalizing a first approach by L. A. Zadeh (J. Math. Anal. Appl. 23, 1968), expected values of fuzzy events are studied which are (up to standard boundary...

Expected value | universal integral | fuzzy event | Choquet integral | capacity | Sugeno integral | CHOQUET | PROBABILITY-MEASURES | REPRESENTATION | SIGMA-ALGEBRAS | TRIANGULAR NORMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | INTEGRALS | ADDITIVITY

Expected value | universal integral | fuzzy event | Choquet integral | capacity | Sugeno integral | CHOQUET | PROBABILITY-MEASURES | REPRESENTATION | SIGMA-ALGEBRAS | TRIANGULAR NORMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | INTEGRALS | ADDITIVITY

Journal Article

Environmental Toxicology and Chemistry, ISSN 0730-7268, 11/2005, Volume 24, Issue 11, pp. 2992 - 2999

In the present study, the acute toxicity of 10 polycyclic aromatic hydrocarbons (PAH) associated with the Prestige fuel oil spill (Spain, 2002) were evaluated,...

Polycyclic aromatic hydrocarbons | Mixture toxicity | Zooplankton Copepod | Copepod | Zooplankton | SIGMA-PAH | BIOCONCENTRATION | zooplankton | SUBLETHAL TOXICITY | copepod | CRUDE-OIL | MODEL | polycyclic aromatic hydrocarbons | ESTUARINE COPEPOD | mixture toxicity | ENVIRONMENTAL SCIENCES | SEDIMENT | TOXICOLOGY | ADDITIVITY | REPRODUCTION | METHYLATED DERIVATIVES | Copepoda - physiology | Animals | Polycyclic Aromatic Hydrocarbons - toxicity | Copepoda - drug effects | Polycyclic Aromatic Hydrocarbons - chemistry | Solubility | Water - chemistry | Petroleum - toxicity | Survival Rate | Polycyclic Aromatic Hydrocarbons - administration & dosage | Toxicity Tests | Quantitative Structure-Activity Relationship | Crustaceans | Plankton | Toxicity | Oil spills

Polycyclic aromatic hydrocarbons | Mixture toxicity | Zooplankton Copepod | Copepod | Zooplankton | SIGMA-PAH | BIOCONCENTRATION | zooplankton | SUBLETHAL TOXICITY | copepod | CRUDE-OIL | MODEL | polycyclic aromatic hydrocarbons | ESTUARINE COPEPOD | mixture toxicity | ENVIRONMENTAL SCIENCES | SEDIMENT | TOXICOLOGY | ADDITIVITY | REPRODUCTION | METHYLATED DERIVATIVES | Copepoda - physiology | Animals | Polycyclic Aromatic Hydrocarbons - toxicity | Copepoda - drug effects | Polycyclic Aromatic Hydrocarbons - chemistry | Solubility | Water - chemistry | Petroleum - toxicity | Survival Rate | Polycyclic Aromatic Hydrocarbons - administration & dosage | Toxicity Tests | Quantitative Structure-Activity Relationship | Crustaceans | Plankton | Toxicity | Oil spills

Journal Article

Economic Theory, ISSN 0938-2259, 11/2005, Volume 26, Issue 4, pp. 973 - 982

In a multiple priors model à la Gilboa and Schmeidler (1989), we provide necessary and sufficient behavioral conditions ensuring the countable additivity and...

Topological compactness | Economic models | Mathematical monotonicity | Economic theory | Axioms | Finance | Sigma additivity | Expected utility | Probabilities | Ambiguity | Economics general | Countable additivity | Non-atomicity | Analysis | Economic Theory | Multiple priors | Economics / Management Science | multiple priors | UNCERTAINTY | RISK | non-atomicity | ECONOMICS | countable additivity | Studies | Probability | Economics and Finance | Humanities and Social Sciences

Topological compactness | Economic models | Mathematical monotonicity | Economic theory | Axioms | Finance | Sigma additivity | Expected utility | Probabilities | Ambiguity | Economics general | Countable additivity | Non-atomicity | Analysis | Economic Theory | Multiple priors | Economics / Management Science | multiple priors | UNCERTAINTY | RISK | non-atomicity | ECONOMICS | countable additivity | Studies | Probability | Economics and Finance | Humanities and Social Sciences

Journal Article

金属学报：英文版, ISSN 1006-7191, 2016, Volume 29, Issue 9, pp. 859 - 868

In this work, the non-isothermal dissolution kinetics of the sigma phase in duplex stainless steels has been studied and modelled. A semi-empirical model is...

可加性规则 | 半经验模型 | 非等温 | 溶解动力学 | 动力学过程 | 等温转变动力学 | 双相不锈钢 | 实验手段 | Sigma phase | Organometallic Chemistry | Material Science | Metallic Materials | Semi-empirical models | Spectroscopy/Spectrometry | Non-isothermal dissolution | Tribology, Corrosion and Coatings | Duplex stainless steels | Characterization and Evaluation of Materials | Modelling | Kinetics | Nanotechnology | TRANSFORMATION KINETIC-MODEL | METALLURGY & METALLURGICAL ENGINEERING | SHAPE-MEMORY ALLOYS | SIMULATION | MECHANICAL-PROPERTIES | MICROSTRUCTURAL STABILITY | PRECIPITATION | TEMPERATURE | ADDITIVITY

可加性规则 | 半经验模型 | 非等温 | 溶解动力学 | 动力学过程 | 等温转变动力学 | 双相不锈钢 | 实验手段 | Sigma phase | Organometallic Chemistry | Material Science | Metallic Materials | Semi-empirical models | Spectroscopy/Spectrometry | Non-isothermal dissolution | Tribology, Corrosion and Coatings | Duplex stainless steels | Characterization and Evaluation of Materials | Modelling | Kinetics | Nanotechnology | TRANSFORMATION KINETIC-MODEL | METALLURGY & METALLURGICAL ENGINEERING | SHAPE-MEMORY ALLOYS | SIMULATION | MECHANICAL-PROPERTIES | MICROSTRUCTURAL STABILITY | PRECIPITATION | TEMPERATURE | ADDITIVITY

Journal Article

Real Analysis Exchange, ISSN 0147-1937, 7/2017, Volume 42, Issue 2, pp. 385 - 390

Can a positive function on R have zero Lebesgue integral? It depends on how much choice one has. Mathematical Reviews subject classification: Primary: 03E25;...

Mathematical set theory | Measure theory | Musical intervals | Riemann integrals | Mathematical integrals | Lebesgue measures | Sigma additivity | Mathematical functions | Research Articles | Null set | Axiom of choice | Zermelo-Fraenkel theory | Feferman-Levy model | Lebesgue integral

Mathematical set theory | Measure theory | Musical intervals | Riemann integrals | Mathematical integrals | Lebesgue measures | Sigma additivity | Mathematical functions | Research Articles | Null set | Axiom of choice | Zermelo-Fraenkel theory | Feferman-Levy model | Lebesgue integral

Journal Article

Real Analysis Exchange, ISSN 0147-1937, 2013, Volume 39, Issue 1, pp. 139 - 174

Some new types of limit theorems for topological group-valued measures are proved in the context of filter convergence for suitable classes of filters. We...

Equivalence between limit theorems | Filter convergence | (uniform) (s)-boundedness | (uniform) σ-additivity | Dieudonné theorem | Block-respecting filter | (uniform) continuity | P-filter | Sliding hump | Brooks-Jewett theorem | (uniform) regularity | Vitali-Hahn-Saks theorem | (free) filter | Topological group | Diagonal filter | Nikodým convergence theorem | Fréchet-Nikodým topology | Uniform filter exhaustiveness | 28A33 | 28B10 | sliding hump | diagonal filter | Nikodym convergence theorem | 54A20 | 28A12 | equivalence between limit theorems | Frechet-Nikod\'ym topology | filter convergence | 40A35 | block-respecting filter | topological group | 40G15 | 06E15 | 22A05 | 54E15 | 54H11 | (uniform) \(\sigma\)-additivity | 41A35 | 41A36 | (uniform) S boundedness | 22A10 | uniform filter exhaustiveness | 28C15 | 28B15 | Dieudonne theorem | 40C05

Equivalence between limit theorems | Filter convergence | (uniform) (s)-boundedness | (uniform) σ-additivity | Dieudonné theorem | Block-respecting filter | (uniform) continuity | P-filter | Sliding hump | Brooks-Jewett theorem | (uniform) regularity | Vitali-Hahn-Saks theorem | (free) filter | Topological group | Diagonal filter | Nikodým convergence theorem | Fréchet-Nikodým topology | Uniform filter exhaustiveness | 28A33 | 28B10 | sliding hump | diagonal filter | Nikodym convergence theorem | 54A20 | 28A12 | equivalence between limit theorems | Frechet-Nikod\'ym topology | filter convergence | 40A35 | block-respecting filter | topological group | 40G15 | 06E15 | 22A05 | 54E15 | 54H11 | (uniform) \(\sigma\)-additivity | 41A35 | 41A36 | (uniform) S boundedness | 22A10 | uniform filter exhaustiveness | 28C15 | 28B15 | Dieudonne theorem | 40C05

Journal Article

The Journal of Philosophy, ISSN 0022-362X, 4/2014, Volume 111, Issue 4, pp. 198 - 218

A priori knowledge | Extinct species | Reasoning | Infinite series | Species extinction | Probability theory | Inference | Sigma additivity | Contradictories | Sampling distributions | Contemporary Philosophy | Analytic Philosophy | PHILOSOPHY | Bayesian statistical decision theory | End of the world | Usage | Intuition | Analysis

Journal Article

Economic Theory, ISSN 0938-2259, 10/2010, Volume 45, Issue 1/2, pp. 291 - 302

An example is given in which agents agree to disagree in a countable space of equiprobable states of nature. Even in this unorthodox setting, if the sets of...

Mathematical intervals | Conditional probabilities | Abstract spaces | Economic theory | Probability theory | Sigma additivity | State of nature | Game theory | Probabilities | D84 | Economics general | Theory of probability | Countable additivity | Interactive epistemology | Economic Theory | Agreeing to disagree | Game Theory, Economics, Social and Behav. Sciences | C70 | Economics / Management Science | Bounded rationality | D82 | COMMON PRIOR ASSUMPTION | PRIORS | ECONOMICS | Geometric probabilities | Measure theory | Analysis | Combinatorial probabilities | Studies | Probability

Mathematical intervals | Conditional probabilities | Abstract spaces | Economic theory | Probability theory | Sigma additivity | State of nature | Game theory | Probabilities | D84 | Economics general | Theory of probability | Countable additivity | Interactive epistemology | Economic Theory | Agreeing to disagree | Game Theory, Economics, Social and Behav. Sciences | C70 | Economics / Management Science | Bounded rationality | D82 | COMMON PRIOR ASSUMPTION | PRIORS | ECONOMICS | Geometric probabilities | Measure theory | Analysis | Combinatorial probabilities | Studies | Probability

Journal Article

Journal of Philosophical Logic, ISSN 0022-3611, 2/2005, Volume 34, Issue 1, pp. 97 - 119

We offer a probabilistic model of rational consequence relations (Lehmann and Magidor, 1990) by appealing to the extension of the classical Ramsey-Adams test...

Probabilistic modeling | Probability distributions | Conditional probabilities | Reasoning | Model theory | Semantic models | Inference | Sigma additivity | Mathematical functions | Logic | non-monotonic logic | countable additivity | belief revision | conditional probability | conditionals | Philosophy | Conditionals | Countable additivity | Conditional probability | Non-monotonic logic | Belief revision | PHILOSOPHY | LOGIC | Computer science | Economic models | Art | Epistemology | Decision theory | Semantics | Logic of language | Probability | Artificial intelligence

Probabilistic modeling | Probability distributions | Conditional probabilities | Reasoning | Model theory | Semantic models | Inference | Sigma additivity | Mathematical functions | Logic | non-monotonic logic | countable additivity | belief revision | conditional probability | conditionals | Philosophy | Conditionals | Countable additivity | Conditional probability | Non-monotonic logic | Belief revision | PHILOSOPHY | LOGIC | Computer science | Economic models | Art | Epistemology | Decision theory | Semantics | Logic of language | Probability | Artificial intelligence

Journal Article

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