Physics and Philosophy BSc

This module aims to provide students with a rigorous understanding of the core concepts of physics at an introductory level. The module underpins all other physics modules in all years.

You’ll receive training in basic computing techniques using Python, and will be introduced to their use in solving physical problems.

You’ll spend two hours in computer classes and a one hour lecture each week. 

You’ll study a selection of mathematical techniques that are used for analysing physical behaviour. Topics will include:

• complex numbers
• calculus of a single variable
• plane geometry
• differential equations
• calculus of several variables
• matrix algebra

You’ll spend around three hours per week in workshops and lectures studying this module.

This module covers issues in ethics, epistemology, and the philosophy of mind.

Topics might include:

• the mind body problem
• the nature of persons
• perception
• knowledge
• free will
• the nature of ethics
• normative theories
• the problem of moral motivation
• the nature of ethical judgements

This module introduces a series of key skills relevant to the aims and methods of philosophical inquiry. It is designed to:

• help you understand the nature and structure of arguments
• acquire critical tools for assessing the arguments of others
• improve your ability to present your own reasoning in a clear and rigorous manner, particularly in essays
• supply the basic minimum knowledge of logic and its technical vocabulary which every philosophy student requires

This module will cover topics from each of Metaphysics, Epistemology and the philosophy of science, and the philosophy of language. Indicative questions include:

• metaphysics – why is there something rather than nothing? Does it make sense to talk of a telos, or purpose, to the universe? Is the universe deterministic, or is there chance
• philosophy of science – is science the guide to all of reality? Is there a scientific method
• philosophy of language – what is truth? Is truth relative? Does language create reality?

All religions have a distinctive philosophical framework. Together we'll look at some of the common concerns such as:

• the variety of conceptions of ultimate reality
• goals for the spiritual life
• the nature of religious experience
• the relations of religion and morality
• explanations of suffering and evil
• human nature and continuing existence after death

As there is such a range of beliefs we'll also look at the problems of religious diversity.

Some of the sources we draw on might include (but is not limited to):

• atheists - Feuerbach, Nietzsche
• Buddhists - Śāntideva, Dōgen, Thich Nhat Hanh
• Christians - Augustine, Pascal, Weil
• Hindus - such as the writers of the Upanisads and Shankara
• Jews - Spinoza, Buber
• Muslims - Mulla Sadra, Nasr
• Taoists - Zhuangzi

More contemporary thinkers might also be included.

With such a wide range of issues and traditions the exact mix will vary - each year will focus on a few key thinkers and themes.

This module is worth 10 credits.

Macroscopic systems exhibit behaviour that is quite different from that of their microscopic constituents studied in isolation. New physics emerges from the interplay of many interacting degrees of freedom. In this module you will learn about the important physical properties of matter and the two main approaches to their description. One, thermodynamics, treats macroscopically relevant degrees of freedom (temperature, pressure and so on) and find relations between these and the fundamental laws which govern them, independent of their microscopic structure. The other approach, statistical mechanics, links the macroscopically relevant properties to the microphysics by replacing the detailed microscopic dynamics with a statistical description. The common feature of both of these methods is the introduction of two macroscopic quantities, temperature and entropy, that have no microscopic meaning.

This module will provide an introduction to the theory and elementary applications of quantum mechanics, a theory that is one of the key achievements of 20th-century physics.

Quantum mechanics is an elegant theoretical construct that is both beautiful and mysterious. Some of the predictions of quantum mechanics are wholly counter-intuitive and there are aspects of it that are not properly understood but it has been tested experimentally for over 50 years and, wherever predictions can be made, they agree with experiment.

In the module From Newton to Einstein, you learnt about the idea of a field a quantity which is defined at every point in space. In this module, the description of fields will be extended by introducing the mathematics of vector calculus.

The module will begin with an introduction to vector calculus, illustrated in the context of the flow of ideal (non-viscous) fluids.

The math­ematics will then be used to provide a framework for describing, understanding and using the laws of electromagnetism. We discuss how electric and magnetic fields are related to each other and to electrical charges and electrical currents. The macroscopic description of electric fields inside dielectric materials and magnetic fields inside magnetizable materials will be described, including the boundary conditions that apply at material interfaces.

The last section of the module will discuss Maxwells equations of electrodynamics and how they lead to the vector wave equation for electromagnetic waves.

• What is art?
• Is there a relationship between art and ethics?
• What is the relationship between art and emotion?

Together we'll explore these philosophical issues and more. By the end of the module you'll:

• have a good awareness of many of the critical debates in the philosophy of art
• recognise and judge for yourself the strengths and weaknesses of arguments on the issues

This module is worth 20 credits.

We look at some fundamental metaphysical questions about the cosmos. A selection of the following topics will be studied:

• Objects: concrete vs. abstract; existence and nothingness
• Sets and mereology
• Properties, Property bearers, Relations
• States of affairs and non-mereological composition
• Modality (including counterfactuals) and possible worlds
• Time, persistence, change, and the non-present

Metaethics is about how ethics works. It's not about judging whether something is morally good or bad in any particular instance but critiquing the foundations used to make the judgements. Some of the questions we might ask are:

• Are there moral facts?
• What is moral truth?
• Do psychopaths really understand moral language?

Like many areas of philosophy metaethics has several branches and by the end of this module you'll be able to:

• understand the main positions in contemporary metaethics
• analyse and evaluate rival views on these topics

This module is worth 20 credits.

For a good pre-module introduction to the subject have a read of chapter six of Ethics for A level by Mark Dimmock and Andrew Fisher. It's an open-source resource so free to access.

We all have opinions about moral matters. But for most of us, our moral opinions are not very well-organised. Indeed, upon reflection we may discover that some of our beliefs about morality are inconsistent. One of the main projects of moral theorising over the past few hundred years has been the attempt to systematically denominate right and wrong actions.

In this module you will examine some of these, including consequentialism, deontology and virtue ethics. 

• Are you obliged to obey the law even when you disagree with it?
• What features must a state have in order to be legitimate?

In this module we will approach these classic questions of political philosophy by examining the work of a number of important past political philosophers. This might include Thomas Hobbes, John Locke, and Jean-Jacques Rousseau but this isn't a fixed list - it may vary according to particular issues and student input.

We will look at both:

• why the thinkers' works have been open to different interpretations
• evaluate their arguments under these different interpretations

This module is worth 20 credits.

This module explores some of the major figures, texts, and schools of the philosophical traditions of India, China, and Japan. The Asian traditions address familiar philosophical themes - in ethics, epistemology, and aesthetics - but often approach them in ways that may seem unfamiliar. Studying them can challenge our culturally inherited presuppositions in instructive ways, as well as illuminating the history and current state of those cultures - an important thing in an age when many Westerners are ‘looking East’.

Topics may include:

• Confucianism, Mohism, Daoism, and Hinduism
• the Analects, Bhagavad Gita, and Zhuangzi
• the relationship between morality and religion
• etiquette, ethics and aesthetics
• the nature of ultimate reality and the good life
• the relation of Asian philosophies to the Western tradition

This module explores contemporary treatments of issues pertaining to knowledge and the justification of belief. It addresses issues such as the following:

• The structure of justification and its relation to one's mental states and evidence (foundationalism vs. coherentism; internalism vs.externalism; evidentialism)
• The justification of induction; the notion of a priori justification
• The relation between your evidence and what you know
• The natures of perceptual experience and perceptual knowledge
• Safety and contextualist theories of knowledge
• Moore's response to scepticism
• Testimonial knowledge, "virtue" epistemology and its relation to "reliabilist" epistemology

This module aims to introduce you to some of the major issues within contemporary philosophy of mind. We will examine four topics and the interactions between them:

• Intentionality
• Consciousness
• Mental Causation
• The Status of Physicalism

The module begins with an exploration of various theories of naming, paying particular attention to the works of Frege, Russell (including the theory of descriptions), and Kripke. We then turn our attention to various puzzles concerning the nature of meaning, including the distinction between analytic and synthetic sentences.

In the final part of the module, we move on to a discussion of some of the mainstream theories of meaning; particularly, a truth-conditional semantics, and we explore how this might be developed to take into account indexical terms such as 'I', 'now', and 'here'. Some of the skills acquired in Elementary Logic will be applied in this module.

This module explores some of the major thinkers, texts and themes of Ancient Greek philosophy. Ancient Greek philosophy stands at the beginning of the western philosophical tradition and western philosophy has been shaped by a sustained engagement with Ancient Greek thought in areas of philosophy, such as epistemology, metaphysics, ethics and political theory.

Topics and thinkers may include: Presocratic Philosophy; Heraclitus; Parmenides; the Sophistic movement; Plato and Platonism; Socrates and the Socratic Schools (Cynics, Cyrenaics and Megarics); Aristotle (ethics, political theory, natural philosophy, metaphysics); Epicurus and Epicureanism; Stoicism; Academic and Pyrrhonian Scepticism; Plotinus and Neoplatonism; Pythagoreansim. No knowledge of the Ancient Greek language is required.

This module addresses issues in social metaphysics and social epistemology. We will examine the metaphysics of social kinds and explore different accounts of social kinds that have been offered. We will also examine how the fact that we are situated in a social world can affect what we can or cannot know or understand about ourselves, each other, and the social world itself. We will also address ethical and/or political issues that arise once we take account of social metaphysics and social epistemology.

In particular, we might consider whether there are special kinds of injustices that arise due to our social reality. What is epistemic injustice and how does it relate to social injustice? How do certain privileged groups structure the social world that create and maintain privilege and patterns of ignorance that perpetuate that privilege? What are some obligations that we have, given metaphysical and epistemological concerns we have explored? 

What is science? Is there a scientific method, and if so, what is it? Can science tell us what the world is really like? Is it the only way to know what the world is really like? Does science progress? What is a paradigm and when/how does it shift? Is science socially constructed? Can a sociological study of the practice of science tell us anything about the nature of science? Is science "value-neutral"? Should we save society from science? What are "the science wars" and who won?

These are some of the questions we will explore in this module. We will start with the positivism-empiricism of the early 20th century and culminate with the postmodernism-relativism of the late-20th century and its aftermath.

Readings will include seminal works by Ayer, Hempel, Popper, Kuhn, Lakatos, Feyeraband, Bloor, and Laudan. While we may consider various examples from the history of science, no background knowledge of science or logic (beyond elementary first-year logic) is presupposed. 

This module will introduce the European tradition of philosophical thinking prevalent over the past two centuries. It will begin with an introduction to the influence of Kant and Hegel and recurrent characteristics of European thought, before turning to focus on representative texts by key thinkers.

Texts for more in- depth study might include, for example: Ludwig Feuerbach’s Principles of the Philosophy of the Future; Henri Bergson’s Creative Evolution; Friedrich Nietzsche’s Twilight of the Idols; Martin Heidegger’s Being and Time; Hannah Arendt’s The Human Condition; and Luce Irigaray’s Speculum of the Other Woman.

Emphasis will be placed on the different images of thought at work in European philosophical texts, as well as on how differing approaches to metaphysics, ethics and politics are grounded in newly created perspectives.

This module will introduce students to the physics of atoms, nuclei and the fundamental constituents of matter and their interactions. The module will also develop the quantum mechanical description of these.

Topics to be covered are:

• Approximation techniques first order perturbation theory, degeneracies, second order perturbation theory, transition rates, time-dependent perturbation theory, Fermi's golden rule
• Particle Physics protons and neutrons, antiparticles, particle accelerators and scattering experiments, conservation laws, neutrinos, leptons, baryons and hadrons, the quark model and the strong interaction, weak interactions, standard model
• Introduction to atomic physics review of simple model of hydrogen atom, Fermi statistics and Pauli principle, aufbau principle, hydrogenic atoms, exchange, fine structure and hyperfine interactions, dipole interaction, selection rules and transition rates
• Lasers optical polarization and photons, optical cavities, population inversions, Bose statistics and stimulated emission, Einstein A and B coefficients
• Nuclear Physics Radioactivity, decay processes, alpha, beta and gamma emission, detectors, stability curves and binding energies, nuclear fission, fusion, liquid drop and shell models.

You will carry out a project drawn from one of several areas of physics. The project may be experimental or theoretical in nature. Many of the projects reflect the research interests of members of academic staff. You will work in pairs and are expected to produce a plan of work and to identify realistic goals for your project. Each pair has a project supervisor responsible for setting the project.

The aim of this module is to provide you with an opportunity to write an 8,000-word dissertation on a philosophical topic, the precise subject of which is by agreement with the supervisor. At the completion of the module, you will have had an opportunity to work independently, though with the advice of a supervisor.

In this module you’ll explore the theoretical aspect of atmospheric physics. Topics will include planetary atmosphere, troposphere, solar radiation and the Energy budget, radiation transfer and Photochemistry among others. You’ll have two hours of lectures per week studying this module.

In this module you will develop your knowledge of classical mechanics of simple linear behaviour to include the behaviour of complex nonlinear dynamics. You’ll learn about the way in which nonlinear deterministic systems can exhibit essentially random behaviour because of sensitivity relating to initial conditions. You’ll have two hours per week of lectures studying this module.

The aim of this module will be to give students a basic grounding in key concepts in soft condensed matter physics, with emphasis being placed on the dynamic, structural and kinematic properties of these materials. Key differences and similarities between soft matter, hard matter and liquid systems will be highlighted and discussed throughout the module. Material that will be covered includes:

1. Introduction to Soft Matter
2. Forces, energies and timescales in soft matter
3. Liquids and glasses
4. Phase transitions in soft matter (solid-liquid and liquid-liquid demixing)
5. Polymeric materials
6. Gelation
7. Crystallisation in soft systems
8. Liquid crystals
9. Molecular order in soft systems
10. Soft Nanotechnology

This module aims to provide you with the skills necessary to use computational methods in the solution of non-trivial problems in physics and astronomy. You’ll also sharpen your programming skills through a three hour computing class and one hour of lectures per week. 

Cosmology is the scientific study of the universe as a whole. The module provides an introduction to modern cosmology, including some of the more recent observational and theoretical developments. No prior knowledge of General Relativity is required. Topics covered include: observed features of the universe, the Cosmological Principle, Newtoniaan and Relativistic cosmology, the Friedmann Models, cosmic expansion, the cosmological constant, evidence for the big bang model, the thermal history of the big bang, the early universe and inflation, the classical cosmological tests, structure formation (brief treatment only).

The first half of this module will describe radiation sources and detectors, with particular reference to those used in the medical imaging applications described in the second half. It will include the physics of accelerators such as linacs, cyclotrons and synchrotrons, of detectors such as ionization chambers, scintillators and solid state detectors and of X-ray imaging, nuclear imaging and positron emission tomography (PET).

You’ll extend and develop your  knowledge of quantum theory with a particular emphasis on how quantum systems evolve over time. The module will focus on developing the mathematical formalism of quantum mechanics as well as introducing important physical models and calculational techniques.

In this module you'll gain an appreciation of the broad societal impact of physics (and science in general). You'll be introduced to the politics surrounding science policy (on, e.g., global warming/renewable energy R&D) and research funding. You'll also explorre some of the key ideas in the philosophy of physics and science, particularly as they relate to public perception of scientific research.

This module will provide a general introduction to solid state physics. Topics covered include:

• Bonding nature of chemical bonds, thermodynamics of solid formation
• Crystal structures description of crystal structures, k-space, reciprocal lattice, Bragg diffraction, Brillouin zones
• Nearly-free electron model - Bloch's theorem, band gaps from electron Bragg scattering, effective masses
• Band theory Fermi surfaces, qualitative picture of transport, metals, insulators and semiconductors
• Semiconductors - doping, inhomogeneous semiconductors, basic description of pn junction
• Phonons normal modes of ionic lattice, quantization, Debye theory of heat capacities, acoustic and optical phonons
• Optical properties of solids absorption and reflection of light by metals, Brewster angle, dielectric constants, plasma oscillations
• Magnetism- Landau diamagnetism, paramagnetism, exchange interactions, Ferromagnetism, antiferromagnetism, neutron scattering, dipolar interactions and domain formation, magnetic technology

Students will learn about the factors that lead to successful innovation, including evaluation and management of an idea/concept.

In addition, students will consider the factors required to extract the value from a product/concept (e.g. market awareness) and the potential routes to market available from both an academic and industrial viewpoint.

The techniques for magnetic resonance imaging (MRI) and spectroscopy (MRS) are explored. The course aims to introduce the brain imaging technique of functional magnetic resonance imaging (fMRI), giving an overview of the physics involved in this technique. The electromagnetic techniques of electroencephalography (EEG) and magnetoencephalography (MEG) will then be outlined, and the relative advantages of the techniques described.

This module will introduce a number of systems in which quantum coherent phenomena are observed, discuss their common features and the general underlying theoretical ideas for their description as well as some of their applications.

• Bose condensation review of Bose statistics, BEC, BEC in cold atomic gases.
• Superfluidity in Helium-4 quantum fluids, macroscopic wave functions, superfluidity, non-classical rotational inertia and vortices, phonon and roton excitations.
• Superconductivity conduction in metals, superconducting materials, zero-resistivity, Meissner effect, perfect diamagnetism, type I and type II behaviour, London theory.
• BCS theory of superconductivity.- electron-phonon interaction, Cooper pairs, BCS wave function, order parameter and microscopic origin of GL.
• Applications: squids, superconducting magnets etc.

To develop an understanding of high-energy phenomena in astrophysics and the relative importance of different processes in different situations.
To make models of extreme astrophysical sources and environments basedon physical theory.
To interpret observational data in the light of relevant physical theory.

The invention of the scanning tunneling microscope (STM) in the 1980s has led to a revolution in the imaging of surfaces and has provided an enormous stimulus for the development of nanoscience. The operation of a scanning probe microscope relies on the interaction between a local probe and a surface. A family of techniques has been derived from the STM which exploit a range of different forces and other interactions for image formation. The most widely-used of these techniques is atomic force microscopy which, unlike, STM, can be used to image insulating samples. In this module the focus will be on the development of physical models to describe the interaction between a local point-like probe and a surface. The operation of the STM will be considered in detail together with design considerations which are common across all scanning probe microscopes. In the second half of the course, forces between the tip and sample will be considered and methods for measuring these interactions will be discussed. The probe-surface interaction can also be used to modify the surface with a specificity which can result in placement of single atoms and molecules and these patterning processes will be discussed. Throughout the course images from the current research literature will be introduced to inform students of the range of possible applications of this these techniques.

To introduce the key theoretical ideas of elementary particle physics, such as symmetry and conservation laws, and to build the foundations for a mathematical description of particle properties and interactions.

This module introduces you to the physical properties of semiconductors and low-dimensional systems, such as quantum wells, wires and dots. The aim is to explain the physics that underlies optical and transport properties of these structures and and their applications in advanced technologies.
This course is structured in two main parts. The first part focuses on the foundation of quantum mechanics and solid state physics needed to describe a low dimensional system. The module then moves on describing the physical principles of semiconductor junction and devices.

Theory Toolbox will enhance your knowledge of the principles of theoretical physics and your understanding of the analytical methods for the analysis of physical problems.