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  • Propositional Quantifiers
    Propositional Quantifiers

    Propositional quantifiers are quantifiers binding proposition letters, understood as variables.This Element introduces propositional quantifiers and explains why they are especially interesting in the context of propositional modal logics.It surveys the main results on propositionally quantified modal logics which have been obtained in the literature, presents a number of open questions, and provides examples of applications of such logics to philosophical problems.

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  • Introduction to Propositional Satisfiability
    Introduction to Propositional Satisfiability


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  • Portfolio Management : Delivering on Strategy
    Portfolio Management : Delivering on Strategy

    Portfolio management is becoming the ‘must have’ for organizations to prosper and survive in this decade and beyond.No longer can the organizational focus be one of following best and repeatable practices as resource limitations mean only those programs, projects, and operational work that add business value can and should be pursued.Executives are focusing on strategic ability and managing complexity, which can only be done through a disciplined portfolio process in ensuring the best mix of programs, projects, and operational work is under way.In turn, the portfolio is constantly in flux as difficult decisions are made if a project, for example, is no longer contributing to business value and providing benefits and should be terminated to reallocate resources to one of higher priority.Commitment to this difficult approach is necessary at all levels, and communication is required so everyone knows how their work contributes to the organization’s strategic goals and objectives. Portfolio Management: Delivering on Strategy, Second Edition focuses on the benefits of portfolio management to the organization.Its goal is to provide senior executives a view on how portfolio management can deliver organizational strategy.The emphasis is on the specific aspects within the portfolio management discipline and how each aspect should be managed from a business perspective and not necessarily from a portfolio management perspective.Highlights of the book include:Agile portfolio management Delivering organizational value Portfolio management and uncertainty Portfolio governance Marketing a portfolio Portfolio management success Starting with a review of the project portfolio concept and its development, this book is a reference for executives and practitioners in the field, as well as a students and researchers studying portfolio management.

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  • Perception and Its Content : Toward the Propositional Attitude View
    Perception and Its Content : Toward the Propositional Attitude View

    What is perception? What is, if any, its content? What is the contribution of perception to knowledge?Perception and Its Content: Toward the Propositional Attitude View argues that perception has conceptual, propositional, and world-dependent content.After criticizing those theories of experience that conceive it as contentless (the causal-linkage approach and naïve realism), the book examines the nature of perceptual content.Daniel Kalpokas critically scrutinizes different varieties of non-conceptualism and claims that the content of experience is partly conceptual.Perception and Its Content defends the propositional-attitude view, according to which perceptual content is propositional in nature, and explores the world-dependent character of such content.Kalpokas holds that the content of experience is composed of concepts and the presented objects, such as they appear from the subject’s point of view and determined environmental conditions.According to this view, perception provides non-inferential knowledge of the truth-makers of our judgments and beliefs.Furthermore, and importantly, that view sheds light on how the mind relates to the world.

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  • What is propositional logic?

    Propositional logic is a branch of formal logic that deals with the logical relationships between propositions or statements. It focuses on the ways in which these propositions can be combined using logical operators such as AND, OR, and NOT to form more complex statements. Propositional logic is concerned with determining the truth values of compound propositions based on the truth values of their component propositions. It is a fundamental part of logic and is widely used in mathematics, computer science, philosophy, and linguistics.

  • What is propositional logic in mathematics?

    Propositional logic is a branch of mathematical logic that deals with propositions or statements that can either be true or false. It focuses on the logical relationships between these propositions using logical operators such as AND, OR, NOT, and IMPLIES. Propositional logic is used to analyze and evaluate the validity of arguments and to construct mathematical models for reasoning. It forms the foundation of more complex logical systems and is widely used in computer science, philosophy, and mathematics.

  • What are questions about propositional logic?

    Questions about propositional logic typically involve determining the truth value of complex statements based on the truth values of simpler component statements. These questions often require applying logical connectives such as AND, OR, NOT, IMPLIES, and IF AND ONLY IF to combine and evaluate statements. Additionally, questions may involve constructing truth tables, identifying logical equivalences, or proving the validity of arguments using rules of inference. Overall, questions about propositional logic aim to assess one's ability to reason logically and systematically about the truth values of statements.

  • How can one understand propositional logic?

    One can understand propositional logic by learning its basic components, such as propositions, logical connectives, and truth values. Propositions are statements that can be either true or false, and logical connectives are used to combine these propositions to form more complex statements. Understanding the truth tables for the logical connectives, such as AND, OR, NOT, and IF-THEN, can help in grasping how these connectives affect the truth values of the propositions. Additionally, practicing with examples and solving problems can aid in understanding how propositional logic works and how to apply it in various contexts.

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    Applied Fundamentals in Finance : Portfolio Management and Investments

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    Portfolio Selection : Efficient Diversification of Investments

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  • What is a propositional logic formula?

    A propositional logic formula is a statement or expression that represents a logical relationship between propositions using logical connectives such as AND, OR, NOT, and IMPLIES. It is composed of propositional variables, which represent simple statements or propositions, and logical connectives, which are used to combine these propositions to form more complex statements. The formula can be evaluated as either true or false based on the truth values of its constituent propositions. Propositional logic formulas are used in formal logic to represent and analyze the validity of logical arguments and reasoning.

  • What is propositional logic in discrete mathematics?

    Propositional logic in discrete mathematics is a formal system that deals with the logical relationships between propositions or statements. It uses symbols to represent logical connectives such as AND, OR, NOT, IMPLIES, and IF AND ONLY IF to manipulate and analyze these propositions. Propositional logic is concerned with determining the truth values of compound propositions based on the truth values of their component propositions. It is a fundamental part of discrete mathematics and is used in various fields such as computer science, philosophy, and linguistics.

  • What is the assumption of propositional logic?

    The assumption of propositional logic is that statements can be represented as propositions, which can be either true or false. It assumes that logical connectives such as AND, OR, and NOT can be used to combine these propositions to form more complex statements. Additionally, it assumes that the truth value of a compound proposition can be determined solely based on the truth values of its constituent propositions and the logical connectives used.

  • What is the negation in propositional logic?

    The negation in propositional logic is an operation that takes a statement and produces its opposite. It is denoted by the symbol "~" or "¬". For example, if the statement "It is raining" is represented by the variable p, then the negation of p would be "It is not raining". In other words, the negation of a statement simply asserts the opposite of the original statement.

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