Remove duplicate items from collection

public void RemoveDuplicatesByName()
{
    List<Posting> postings = GetAllPostings();
    postings.Sort();

    for (int i = 1; i < postings.Count; i++)
    {
        if (postings[i].Name == postings[i - 1].Name)
        {
            postings.RemoveAt(i);
            i--;
        }
    }
}

public List<Posting> GetAllPostings()
{
    List<Posting> postings = new List<Posting>();
    Posting posting;
    posting = new Posting("post1", "2005-5-11");
    postings.Add(posting);
    posting = new Posting("post1", "2005-5-11");
    postings.Add(posting);
    posting = new Posting("post2", "2005-6-11");
    postings.Add(posting);
    posting = new Posting("post2", "2005-5-11");
    postings.Add(posting);
    posting = new Posting("post3", "2005-8-11");
    postings.Add(posting);
    posting = new Posting("post2", "2005-7-11");
    postings.Add(posting);
    posting = new Posting("post1", "2005-5-12");
    postings.Add(posting);
    posting = new Posting("post2", "2005-8-11");
    postings.Add(posting);
    return postings;
}

public class Posting : IComparable<Posting>
{
    private string name;
    private string lastModifiedDate;

    public Posting(string name, string lastModifiedDate)
    { 
        this.name = name;
        this.lastModifiedDate = lastModifiedDate;
    }

    public string Name
    {
        get { return name; }
        set { name = value; }
    }

    public string LastModifiedDate
    {
        get { return lastModifiedDate; }
        set { lastModifiedDate = value; }
    }

    public int CompareTo(Posting other)
    {
        return (String.Compare(this.Name, other.Name));
    }
}