My Lords, my Amendment 13 does not differ greatly from the previous amendment. Indeed, it differs in only one word: “pure”. In proposing my amendment, I have been mindful that mathematics is in danger in universities from an attempt by administrators to reduce its presence. At the University of Leicester, where I am an emeritus professor, a considerable number of staff described either as “pure mathematicians” or “managerial sociologists” have been sacked. The so-called pure mathematicians have been sacked on account of the unpopularity of maths, as revealed in perennial student surveys. Mathematical subjects tend to be unpopular with students because they are challenging. Nevertheless, they are the backbone of degrees in science, engineering and other subjects. I suspect that the managerial sociologists have been sacked because administrators are loath to recognise the expertise of others in a subject in which they believe they have significant experience. Be that as it may, my present concern is with mathematics.

Very few mathematicians would call themselves “pure” mathematicians. They describe themselves as mathematicians without qualification. Pure maths is concerned with giving order and clarity to the subject of mathematics, of which the exposition stands in constant need of reform. Applied mathematics, as the name suggests, is concerned with applying mathematics to substantive issues. We cannot have the one without the other. Legislation that declares that mathematical advances are not science unless they are advances in representing the nature and behaviour of the physical and material universe speaks of a wrong-headed attitude on the part of administrators who may have little understanding of the nature of science. In derogating the role of mathematics, this attitude could have dire consequences. I hope that the acknowledgement of the importance of mathematics to science will serve to counteract the wave of intellectual vandalism occasioned by the insurgency of administrators that is sweeping through British universities. I beg to move the amendment standing in my name, but I propose that it should stand or fall with the other amendments in this group.