Foundational Studies

Provability, Computability and Reflection.

The infallible Word of God the Bible is our sole basis of our beliefs. We have 66 books of the Old and New Testaments. The Old Testament pointed to Jesus coming the first time and many more prophecies of Him coming the second time. The New Testament covers the life and ministry of Christ and the outpouring of the Holy Spirit and the establishment of His Kingdom and imminent setting up of the Father’s Kingdom.

Compiled by Alwin Schroeder, a former cellist with the Boston Symphony Orchestra and an experienced teacher, this collection of 80 exercises constitutes the first book of a three-volume set. Schroeder drew upon his extensive experience to create original études for instructing students, and in this work he combines them with several others by his distinguished nineteenth-century European colleagues: Karl Schröder. Ferdinand Büchler, Friedrich Dotzauer, Auguste Franchomme, Friedrich Grützmacher, and Sebastian Lee. The carefully selected studies are arranged in order of increasing complexity, and Schroeder provides suggestions for fingering, bowing, and dynamics. Cello students and teachers will find these exercises a splendid resource for the improvement of technique and performance.

Andrzej Mostowski was one of the leading 20th century logicians. His legacy is examined in this volume of papers devoted both to his extraordinary scientific heritage and to the memory of him as a great researcher, teacher, organizer of science and human. Professor Mostowski pioneered and mastered many areas of mathematical logic. His contributions spanned set theory, recursion theory, and model theory - the backbone of foundations of mathematics. He is best known of the Kleene-Mostowski and Davis-Mostowski hierarchies of properties of integers reflecting the complexity of their definitions, and of the very elegant concept of a generalized quantifier which inspired and keeps stimulating a stream of deep work on fundamental issues of logics, deduction and reasoning both in mathematics and in computer science, and also of the contributions and excellent lectures on undecidability, unprovability, consistency and independence of various statements in set theory and arithmetic following Gödel, Tarski and Cohen. The overall content of the volume is designed to cover the current main streams in the field. For many years after WWII, especially in the late sixties, till his untimely death in 1975, Warsaw - where he led the centre of foundational studies - was a place where many leading logicians visited, studied, and started their career. Their memories form an important part of this volume, attempting to bring back the extraordinary achievements and personality of Mostowski.

A Christian who doesn’t study the Word of God will not be able to live to the fullness of what God has promised to him or her. The enemy is trying to steal away our peace, and finally destroy us, hoping we will turn away from God. 2Timothy 2:15 Do your best to present yourself to God as an approved worker who has nothing to be ashamed of, handling the word of truth with precision. (ISV) Here we see we are to study His Word, to be approved workers, which is right, but let us look at the second part of this statement. handling the word of truth with precision. The word precision has an implication of importance and we need to know how to handle it in our defence against the enemy. We need to understand the Word of God clearly, so that we can extinguish the fiery arrows of the enemy.

This reader-friendly text examines the key foundational studies in early literacy. It addresses such essential questions as how research informs current practices and where the field still needs to go to provide the best learning opportunities for all children. Each chapter describes the methods and findings of one to five seminal studies, critically assesses their long-term impact on practice and policy, and offers takeaways for the classroom. Leading authorities--including several authors of the original pivotal studies--cover 12 essential aspects of language development, literacy development, and home and community literacy experiences in PreK?2.ÿ ÿ

This book draws attention to the classic, seminal articles in entrepreneurship that have made profound contributions to the field’s emergence, development, and maturity. In each chapter, a classic is identified, ideas contained therein that are still relevant to the field are discussed, and subsequently follow-up research that is being conducted based on these ideas is highlighted, including possible areas of future research. Scholars will embrace this systematic effort to identify and reveal the contribution of classic articles in entrepreneurship research and their impact on subsequent scholarship.

Supported by a companion skills volume and website, Foundation Studies for Caring is a comprehensive introductory text for all health professionals, which maps directly on to the key skills framework. Taking a student-centred learning and interprofessional approach, it is the most inclusive and engaging theory text in the market.