Why is this 'Label' a field?

Question

Im currently working myself trough a Xamarin Book. There you can see this Code:

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Reflection;
using Xamarin.Forms;

namespace BookCode

{
    public class Greetings : ContentPage
{
    public Greetings()
    {
        Label label;

        label = new Label
        {
            FontSize = Device.GetNamedSize(NamedSize.Large, typeof(Label)),
            HorizontalOptions = LayoutOptions.Center,
            VerticalOptions = LayoutOptions.Center
            };

        Content = label;

           SizeChanged += OnPageSizeChanged;


        void OnPageSizeChanged(object sender, EventArgs args)
        {
            label.Text = String.Format("{0} \u00D7 {1}", Width, Height);
        }
    }
}
}

And in an explanation of the code you can read this:

"Instead, the event handler accesses the Label element (conveniently saved as a field) to display the Width and Height properties of the page. The Unicode character in the String.Format call is a times (×) symbol."

My current knowledge of fields and properties is basically this:

public class ClassName
{
private string field;

public string property {get {return field;} set {field = value;} }
}

I dont understand why the Label element is saved as a field. Could it be saved as something else?

Answer 1

It is not a field. Fields are members on a class or struct. This label is just a local variable.

The book is wrong.

You can make it a field or property obviously by moving the definition of the label to the class level.