From Pythagoreans to Hegel, and beyond, this book gives a brief overview of the history of the notion of graphs and introduces the main concepts of graph theory in order to apply them to philosophy. In addition, this book presents how philosophers can use various mathematical notions of order. Throughout the book, philosophical operations and concepts are defined through examining questions relating the two kinds of known infinities – discrete and continuous – and how Woodin's approach can influence elements of philosophy. We also examine how mathematics can help a philosopher to discover the elements of stability which will help to build an image of the world, even if various approaches (for example, negative theology) generally cannot be valid. Finally, we briefly consider the possibilities of weakening formal thought represented by fuzziness and neutrosophic graphs. In a nutshell, this book expresses the importance of graphs when representing ideas and communicating them clearly with others.
This book is an essay on the epistemology of classifications. Its main purpose is not to provide an exposition of an actual mathematical theory of classifications, that is, a general theory which would be available to any kind of them: hierarchical or non-hierarchical, ordinary or fuzzy, overlapping or non-overlapping, finite or infinite, and so on, establishing a basis for all possible divisions of the real world. For the moment, such a theory remains nothing but a dream. Instead, the authors essentially put forward a number of key questions. Their aim is rather to reveal the “state of art” of this dynamic field and the philosophy one may eventually adopt to go further. To this end they present some advances made in the course of the last century, discuss a few tricky problems that remain to be solved, and show the avenues open to those who no longer wish to stay on the wrong track. Researchers and professionals interested in the epistemology and philosophy of science, library science, logic and set theory, order theory or cluster analysis will find this book a comprehensive, original and progressive introduction to the main questions in this field.
From Pythagoreans to Hegel, and beyond, this book gives a brief overview of the history of the notion of graphs and introduces the main concepts of graph theory in order to apply them to philosophy. In addition, this book presents how philosophers can use various mathematical notions of order. Throughout the book, philosophical operations and concepts are defined through examining questions relating the two kinds of known infinities – discrete and continuous – and how Woodin’s approach can influence elements of philosophy. We also examine how mathematics can help a philosopher to discover the elements of stability which will help to build an image of the world, even if various approaches (for example, negative theology) generally cannot be valid. Finally, we briefly consider the possibilities of weakening formal thought represented by fuzziness and neutrosophic graphs. In a nutshell, this book expresses the importance of graphs when representing ideas and communicating them clearly with others.
This book, which studies the links between mathematics and philosophy, highlights a reversal. Initially, the (Greek) philosophers were also mathematicians (geometers). Their vision of the world stemmed from their research in this field (rational and irrational numbers, problem of duplicating the cube, trisection of the angle...). Subsequently, mathematicians freed themselves from philosophy (with Analysis, differential Calculus, Algebra, Topology, etc.), but their researches continued to inspire philosophers (Descartes, Leibniz, Hegel, Husserl, etc.). However, from a certain level of complexity, the mathematicians themselves became philosophers (a movement that begins with Wronsky and Clifford, and continues until Grothendieck).
This book is an essay on the epistemology of classifications. Its main purpose is not to provide an exposition of an actual mathematical theory of classifications, that is, a general theory which would be available to any kind of them: hierarchical or non-hierarchical, ordinary or fuzzy, overlapping or non-overlapping, finite or infinite, and so on, establishing a basis for all possible divisions of the real world. For the moment, such a theory remains nothing but a dream. Instead, the authors essentially put forward a number of key questions. Their aim is rather to reveal the “state of art” of this dynamic field and the philosophy one may eventually adopt to go further. To this end they present some advances made in the course of the last century, discuss a few tricky problems that remain to be solved, and show the avenues open to those who no longer wish to stay on the wrong track. Researchers and professionals interested in the epistemology and philosophy of science, library science, logic and set theory, order theory or cluster analysis will find this book a comprehensive, original and progressive introduction to the main questions in this field.
How, in the years before the advent of urban maps, did city residents conceptualize and navigate their communities? In his strikingly original book, Daniel Lord Smail develops a new method and a new vocabulary for understanding how urban men and women thought about their personal geography. His thorough research of property records of late medieval Marseille leads him to conclude that its inhabitants charted their city, its social structure, and their own identities within that structure through a set of cartographic grammars which powerfully shaped their lives.Prior to the fourteenth century, different interest groups—notaries, royal officials, church officials, artisans—developed their own cartographies in accordance with their own social, political, or administrative agendas. These competing templates were created around units ranging from streets and islands to vicinities and landmarks. Smail shows how the notarial template, which privileged the street as the most basic marker of address, gradually emerged as the cartographic norm. This transformation, he argues, led to the rise of modern urban maps and helped to inaugurate the process whereby street addresses were attached to citizen identities, a crucial development in the larger enterprise of nation building.Imaginary Cartographies opens up powerful new means for exploring late medieval and Renaissance urban society while advancing understanding of the role of social perceptions in history.
Western civilization was built on the concept of God. Today modern science, based on the critical method and so-called objective facts, denies even the existence of our soul. There is only matter: atoms, molecules, and DNA sequences. There is no freedom; there are no well-grounded beliefs. The decline of Western civilization is not the simple consequence of decadence, hedonism, and malevolence. Modern critical science has liberated us from the old dogmas but failed to establish our freedoms, values, and beliefs. However, human knowledge is not objective but personal. We are the children of evolution. Everybody sees the world from his own personal point of view anchored into his/her body. We use our billions-of-years-old evolutionary skills and thousands-of-years-old cultural heritage to recognize and acknowledge the personal facts of our reality, freedom, and most important natural beliefs: respect and speak the truth. In reality, even science itself is based on our personal knowledge. Only our false conceptual dichotomies paralyze our thinking. God or matter? - there is a third choice: the emergence of life and human persons. This is the only way to defend our freedoms and the Christian moral dynamism of free Western societies.
The violence, confl icts, senseless wars, divorces and many other evil activities against each other globally is the lack of patience. The world is facing such atrocities and wickedness because of selfishness, greed, then also people are not ready to understand each other. This small book exposes some of the weaknesses that fi ght against our patience and some strengths which can enhance our patience. It is a book for all who are ready to notice how our impatience can destroy good intentions and also how we can build a society who are ready to embrace each other regardless of colour, religion, age, or sex. Even though the book targets Christians, I should think that politicians, statesmen, married couples, legal institutions and other stakeholders can largely benefi t from reading it.
Man's made the earth a mess. The planet's been polluted, profaned by excessive pride. Messiah Proposes suggests a profound new way to think about God: proposing marriage to his 'woman'. This concept will completely change the meaning of our lives.
Every choice reveals character, worldview, morality, belief and hope. This book focuses the reader's attention on these choices. Its stories are about cars and faith, and invite the curious to discover the connection between the two. Than Jesus is Savior and Lord is the other contention of this work. Given the political climate, many do not wish to be labeled "intolerant; " it is deemed scandalously exclusionary to insist Christ is the only Redeemer. Some see Jesus' claim to be "the way, the truth, and the life" as inappropriate. This book makes it plain that just as "without faith it is impossible to please God." Without faith is Christ Jesus it is impossible to have either forgiveness or peace.
Every choice reveals character, worldview, morality, belief and hope. This book focuses the reader's attention on these choices. Its stories are about cars and faith, and invite the curious to discover the connection between the two. Than Jesus is Savior and Lord is the other contention of this work. Given the political climate, many do not wish to be labeled "intolerant; " it is deemed scandalously exclusionary to insist Christ is the only Redeemer. Some see Jesus' claim to be "the way, the truth, and the life" as inappropriate. This book makes it plain that just as "without faith it is impossible to please God." Without faith is Christ Jesus it is impossible to have either forgiveness or peace.
Inspired by the path-breaking work of Robert Tittler, the authors explore late Medieval and Early Modern community and identity across England. They examine the decline of neighbourliness, the politics of market towns, clerical status, charity, crime, and ways in which overlapping communities of court and country, London and Lancashire, relate.
With case studies that link practices of concentration to the emergence of new racial categories, this groundbreaking book convincingly argues that race was a product of, rather than a starting point for, the spatial politics of colonial rule in Latin Ame
The twelfth-century borderlands of the duchy of Normandy formed the cockpit for dynastic rivalries between the kings of England and France. This 2004 book examines how the political divisions between Normandy and its neighbours shaped the communities of the Norman frontier. It traces the region's history from the conquest of Normandy in 1106 by Henry I of England, to the duchy's annexation in 1204 by the king of France, Philip Augustus, and its incorporation into the Capetian kingdom. It explores the impact of the frontier upon princely and ecclesiastical power structures, customary laws, and noble strategies such as marriage, patronage and suretyship. Particular attention is paid to the lesser aristocracy as well as the better known magnates, and an extended appendix reconstructs the genealogies of thirty-three prominent frontier lineages. The book sheds light upon the twelfth-century French aristocracy, and makes a significant contribution to our understanding of medieval political frontiers.
Author Daniel Paavola uses seven biblical themes to explore why God chose to send His Son and patiently build relationships with flawed humans rather than destroy the whole human population and start all over again. Instant Perfection-Patient Relationship. God often chooses to walk with us in a patient relationship of faith and grace. It's the Second that Counts. In the Bible, God often chooses the second over the first. The first is not a mistake, dead end, or waste of time, but God telling us the best is yet to come. One for us A;;. Adam stood for all of us and dragged us into judgment: but Christ stood under ultimate judgment to restore all of us to God. Grace upends Our World. We stubbornly resist God's grace that would lift us out of our past, but God preserves to raise us by the very grace we resist. Greatness ought to look like greatness. We expect God to show His greatness in spotless grandeur, but He often hides it beneath humility and things that seem foolish and weak. Curing the illness itself. We flee it, but God harnesses, directs, and transforms illness into the cure. Perfection welcomes failure. Instead of driving our failures away in fear, the perfect God draws us to Himself while we are yet sinners. Perfect for small groups, adult confirmation classes, and individuals.
This book is a collective work by Daniel E. Springs that features insight into scientific formulas given by God and Wisdom, such as man being a musical being, Worm Hole Theory explained, Wave Energy in the future etc. God in this work skillfully gives the Author precepts into fasting and poetry that leads the heart to rejoicing and a deeper understanding of God's ways. A part of the book deals with considering how men of African descent may grow in faith and world changing abilities to bring about the restoration of a people group. For The Glory of the Father.
Using texts from the NKJV Bible. This book is about a life in submission to GOD. By following Jesus Christ the LORD, you could experience the best this life has to offer. You can avoid mistakes and headaches by following the instructions found in this book. I am a 7th Day Adventist Christian who believe in sharing my testimony and GOD's amazing love.
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.