Introduction to higher-order categorical logic

Introduction to Higher-Order Categorical

📁 Introduction to Higher-Order Categorical Logic

✍ J. Lambek, P. J. Scott 📂 Library 📅 1988 🏛 Cambridge University Press 🌐 English

I was looking for a book for my girlfriend this Christmas and stumbled upon this one. At first I thought it would be too light but was I ever mistaken!! This book is so high that it would make Jack Kerouac dizzy. It begins with a treatment of basic category theory and ccc's and then goes on to pr

Introduction to Higher-Order Categorical

📁 Introduction to Higher-Order Categorical Logic

✍ J. Lambek, P.J. Scott 📂 Library 📅 1986 🏛 Cambridge University Press 🌐 English

In this volume, Lambek and Scott reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher-order logic, and cartesian closed categories, are essentially the same. Part

Introduction to Higher-Order Categorical

📁 Introduction to Higher-Order Categorical Logic

✍ J. Lambek, P. J. Scott 📂 Library 📅 1988 🏛 Cambridge University Press 🌐 English

In this volume, Lambek and Scott reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher-order logic, and cartesian closed categories, are essentially the same. Part

Introduction to higher-order categorical

📁 Introduction to higher-order categorical logic

✍ Lambek J., Scott P.J. 📂 Library 📅 1994 🏛 Cambridge University Press 🌐 English

In this volume, Lambek and Scott reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher-order logic, and cartesian closed categories, are essentially the same. Part

Introduction to Higher Order Categorical

📁 Introduction to Higher Order Categorical Logic

✍ J. Lambek, P. J. Scott 📂 Library 📅 1988 🏛 Cambridge University Press 🌐 English

Introduction to Higher-Order Categorical

📁 Introduction to Higher-Order Categorical Logic

✍ J. Lambek, P. J. Scott 📂 Library 📅 1988 🏛 Cambridge University Press 🌐 English

Part I indicates that typed-calculi are a formulation of higher-order logic, and cartesian closed categories are essentially the same. Part II demonstrates that another formulation of higher-order logic is closely related to topos theory.